Juan J. Trujillo
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Computer Science
Juan J. Trujillo's Degrees
- PhD Computer Science University of Barcelona
- Masters Computer Science University of Barcelona
- Bachelors Computer Science University of Barcelona
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(Suggest an Edit or Addition)Juan J. Trujillo's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Theory and Applications of Fractional Differential Equations (2006) (12677)
- Fractional Calculus: Models and Numerical Methods (2012) (1763)
- Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies) (2006) (1187)
- THEORY AND APPLICATIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS. NORTH-HOLLAND MATHEMATICS STUDIES (2006) (1072)
- Differential equations of fractional order:methods results and problem —I (2001) (396)
- On the fractional signals and systems (2011) (265)
- Existence of mild solution for evolution equation with Hilfer fractional derivative (2015) (250)
- Fractional calculus: A survey of useful formulas (2013) (214)
- Fractional calculus in the Mellin setting and Hadamard-type fractional integrals (2002) (197)
- The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces (2010) (180)
- Fractional differential equations as alternative models to nonlinear differential equations (2007) (175)
- Mellin transform analysis and integration by parts for Hadamard-type fractional integrals (2002) (173)
- On systems of linear fractional differential equations with constant coefficients (2007) (171)
- Compositions of Hadamard-type fractional integration operators and the semigroup property (2002) (171)
- Differential Equations of Fractional Order: Methods, Results and Problems. II (2002) (167)
- Stability of Fractional Order Systems (2013) (154)
- On development of fractional calculus during the last fifty years (2013) (143)
- On exact solutions of a class of fractional Euler–Lagrange equations (2007) (140)
- On a Riemann–Liouville Generalized Taylor's Formula (1999) (138)
- Existence results for fractional impulsive integrodifferential equations in Banach spaces (2011) (131)
- On the existence of solutions of fractional integro-differential equations (2011) (102)
- Fractional dynamics of populations (2011) (98)
- Controllability of nonlinear fractional dynamical systems (2012) (97)
- EXISTENCE OF SOLUTIONS OF NONLINEAR FRACTIONAL PANTOGRAPH EQUATIONS (2013) (86)
- Caputo-Type Modification of the Erdélyi-Kober Fractional Derivative (2007) (85)
- Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions (2013) (77)
- Hadamard-type integrals as G-transforms (2003) (72)
- Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces (2013) (68)
- A fractional approach to the Sturm-Liouville problem (2013) (65)
- On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces (2011) (64)
- Fractional models, non-locality, and complex systems (2010) (63)
- Discrete-time differential systems (2015) (60)
- Controllability Results for Nonlinear Fractional-Order Dynamical Systems (2013) (56)
- On new existence results for fractional integro-differential equations with impulsive and integral conditions (2014) (55)
- Fractional Power-Law Spatial Dispersion in Electrodynamics (2015) (52)
- Controllability of fractional damped dynamical systems (2015) (50)
- Controllability results for a class of fractional semilinear integro-differential inclusions via resolvent operators (2014) (45)
- From a generalised Helmholtz decomposition theorem to fractional Maxwell equations (2015) (43)
- Linear fractional differential equations with variable coefficients (2008) (42)
- Relative controllability of fractional dynamical systems with multiple delays in control (2012) (41)
- EXISTENCE AND UNIQUENESS THEOREMS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS (2000) (41)
- A unified approach to fractional derivatives (2012) (40)
- Fractional heat equation and the second law of thermodynamics (2011) (40)
- Existence results for an impulsive fractional integro-differential equation with state-dependent delay (2015) (39)
- Controllability of nonlinear higher order fractional dynamical systems (2013) (39)
- Existence of Solutions to Fractional Mixed Integrodifferential Equations with Nonlocal Initial Condition (2011) (38)
- On the solution of fractional evolution equations (2004) (38)
- Anomalous NMR relaxation in cartilage matrix components and native cartilage: fractional-order models. (2011) (38)
- Controllability of Nonlinear Fractional Delay Dynamical Systems (2016) (38)
- Existence and uniqueness results for fractional integrodifferential equations with boundary value conditions (2012) (38)
- Note on controllability of linear fractional dynamical systems (2016) (37)
- Controllability of Impulsive Fractional Functional Integro-Differential Equations in Banach Spaces (2013) (34)
- Fractional Fourier transform in the framework of fractional calculus operators (2010) (33)
- Fractional calculus: models and numerical methods (2nd edition) (2016) (33)
- CAPUTO LINEAR FRACTIONAL DIFFERENTIAL EQUATIONS (2006) (33)
- Linear Differential Equations of Fractional Order (2007) (28)
- Complex Grünwald–Letnikov, Liouville, Riemann–Liouville, and Caputo derivatives for analytic functions (2011) (28)
- Existence and stability results for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes quadratic integral equations (2014) (27)
- Fractional derivatives and periodic functions (2017) (27)
- Krätzel Function as a Function of Hypergeometric Type (2006) (27)
- Stirling Functions of the Second Kind in the Setting of Difference and Fractional Calculus (2003) (24)
- Analysis of radial composite systems based on fractal theory and fractional calculus (2015) (24)
- Anomalous T2 relaxation in normal and degraded cartilage (2016) (23)
- Generalized GL Fractional Derivative and Its Laplace and Fourier Transform (2009) (23)
- Certain fractional integral operators and the generalized multi-index Mittag-Leffler functions (2015) (23)
- Fractional Differential Equations: A Emergent Field in Applied and Mathematical Sciences (2003) (21)
- Observability and Controllability of Fractional Linear Dynamical Systems (2013) (20)
- alpha-Analytic solutions of some linear fractional differential equations with variable coefficients (2007) (19)
- A generalized power series and its application in the inversion of transfer functions (2015) (19)
- An extended elastic law to represent non-linear elastic behaviour: Application in computational metal forming (2013) (19)
- A real regularised fractional derivative (2012) (19)
- AN EXTENSION OF PICARD-LINDELOFF THEOREM TO FRACTIONAL DIFFERENTIAL EQUATIONS (1998) (18)
- Controllability of nonlinear stochastic fractional neutral systems with multiple time varying delays in control (2017) (17)
- Computation of fractional integrals via functions of hypergeometric and Bessel type (2000) (16)
- Fractional Order Continuity and Some Properties about Integrability and Differentiability of Real Functions (1999) (16)
- Remark on the existence results for fractional impulsive integrodifferential equations in Banach spaces (2012) (16)
- A new look into the discrete-time fractional calculus: derivatives and exponentials (2013) (16)
- New Results from Old Investigation: A Note on Fractional M-Dimensional Differential Operators. The Fractional Laplacian (2015) (15)
- Integer/fractional decomposition of the impulse response of fractional linear systems (2015) (15)
- Theory of System of Nonlinear Fractional Differential Equations (2017) (15)
- Generalized Grünwald–Letnikov Fractional Derivative and Its Laplace and Fourier Transforms (2011) (14)
- Stabilizability of fractional dynamical systems (2014) (13)
- Relative controllability of nonlinear neutral fractional integro‐differential systems with distributed delays in control (2016) (13)
- Existence of local solutions for differential equations with arbitrary fractional order (2016) (12)
- The Krätzel function and evaluation of integrals (2010) (11)
- Observability of Nonlinear Fractional Dynamical Systems (2013) (11)
- The Incremental Ratio Based Causal fractional Calculus (2012) (11)
- Upper and Lower Solutions Method for Partial Fractional Differential Inclusions with Not Instantaneous Impulses (2015) (11)
- Theory and Applications of Fractional Order Systems (2014) (11)
- Generalized Stirling Functions of Second Kind and Representations of Fractional Order Differences via Derivatives (2003) (10)
- Optimal control of discrete-time linear fractional-order systems with multiplicative noise (2016) (10)
- Null controllability of fractional dynamical systems with constrained control (2017) (9)
- Existence and uniqueness theorem for nonlinear fractional differential equations (2000) (9)
- On Deterministic Fractional Models (2010) (9)
- Controllability of nonlinear stochastic neutral fractional dynamical systems (2017) (9)
- Application of Perov’s fixed point theorem to Fredholm type integro-differential equations in two variables (2016) (8)
- Stirling functions of first kind in the setting of fractional calculus and generalized differences (2007) (7)
- Steady-state response of constant coefficient discrete-time differential systems (2016) (7)
- Controllability of nonlinear implicit neutral fractional Volterra integrodifferential systems (2016) (7)
- Mesoscopic Fractional Kinetic Equations versus a Riemann–Liouville Integral Type (2007) (7)
- A Fite type result for sequential fractional differential equations (2009) (7)
- Existence Results for Fractional Neutral Functional Differential Equations with Random Impulses (2015) (7)
- Fractional operators and some special functions (2010) (6)
- A hybrid impulsive and sampled-data control for fractional-order delayed reaction-diffusion system of mRNA and protein in regulatory mechanisms (2022) (6)
- Ulam stabilities for partial Hadamard fractional integral equations (2016) (6)
- Bessel-type functions and bessel-type integral transforms on Spaces Fp,μ and (1999) (6)
- Existence and numerical simulation of solutions for nonlinear fractional pantograph equations (2017) (6)
- A new look into the discrete-time fractional calculus: transform and linear systems (2013) (6)
- Asymptotic representations for hypergeometric-Bessel type function and fractional integrals (2002) (6)
- Improving the empirical mode decomposition method (2011) (5)
- An application of Szegö quadratures to the computation of the Fourier transform (2007) (5)
- Existence of Solutions for Fractional Delay Integrodifferential Equations (2012) (5)
- Riemann–Liouville fractional calculus in Morrey spaces and applications (2016) (5)
- EXISTENCE OF POSITIVE MONOTONIC SOLUTIONS OF FUNCTIONAL HYBRID FRACTIONAL INTEGRAL EQUATIONS OF QUADRATIC TYPE (2015) (4)
- The generalized hypergeometric function as the Meijer G-function (2016) (4)
- Existence of Mild and Classical Solutions for Nonlocal Impulsive Integrodifferential Equations in Banach Spaces with Measure of Noncompactness (2014) (3)
- A Relation Between the Fractional Derivative and the Hilbert Transform (2012) (3)
- On the solutions of partial integrodifferential equations of fractional order (2017) (3)
- Civil-Comp special issue (2010) (3)
- Advanced Theoretical and Applied Studies of Fractional Differential Equations (2013) (3)
- On The Meijer Transform In Space (2000) (3)
- Existence of Mild Solutions of Abstract Fractional Differential Equations with Fractional Non-Instantaneous Impulsive Conditions (2017) (3)
- Applications of Continuous-Time Random Walks to Finance and Economics (2012) (3)
- Control of a novel fractional hyperchaotic system using a located control method (2014) (2)
- BOUNDARY VALUE PROBLEMS FOR FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS INVOLVING GRONWALL INEQUALITY IN BANACH SPACE (2016) (2)
- On a Unified Fractional Derivative (2011) (2)
- On Theory of Systems of Fractional Linear Differential Equations (2005) (2)
- Remarks to the Paper “On the Existence of Blow UP Solutions for a Class of Fractional Differential Equations” by Z. Bai et al., In “FCAA”, VOL. 17, NO 4 (2014), 1175-1187 (2015) (2)
- Generalized hankel transform no space (2000) (2)
- Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces (2013) (1)
- Controllability of nonlinear higher order fractional dynamical systems (2012) (1)
- A Survey of Numerical Methods for the Solution of Ordinary and Partial Fractional Differential Equations (2012) (1)
- Design of a fractional - Order controller for the setpoint ramp tracking problem (2013) (1)
- Exact solutions of a class of fractional Hamiltonian equations involving Caputo derivatives (2009) (1)
- Fatigue Analysis in a Bellow Expansion Joint Installed a Heat Exchanger (2017) (1)
- Continuous-Time Random Walks and Fractional Diffusion Models (2012) (1)
- Applications of Continuous-Time Random Walks (2016) (1)
- Theory and Applications of Fractional Order Systems 2016 (2016) (1)
- Dynamic Systems and Applications 19 ( 2010 ) 383-394 A FITE TYPE RESULT FOR SEQUENTIAL FRACTIONAL DIFFERENTIAL EQUATIONS (2010) (1)
- Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions (2013) (0)
- Stabilizability of fractional dynamical systems (2014) (0)
- A new look at the Empirical Mode Decomposition (2014) (0)
- Ulam stabilities for partial Hadamard fractional integral equations (2016) (0)
- RESEARCH PAPER APPLICATION OF MEASURE OF NONCOMPACTNESS TO A CAUCHY PROBLEM FOR FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES (2013) (0)
- A Fractional-Order Model for T 2 Relaxation in Normal and Degraded Cartilage (2010) (0)
- Hankel-Schwartz and Hankel-Clifford transforms on % MathType!MTEF!2!1!+-% feaaeaart1ev0aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXanrfitLxBI9gBaerbd9wDYLwzYbItLDharqqt% ubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq% -Jc9vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0x% fr (2003) (0)
- On the solutions of partial integrodi erential equations of fractional order (2017) (0)
- On Representation of Solutions of Abstract Fractional Differential Equations (2019) (0)
- STABILIZABILITY OF FRACTIONAL (2014) (0)
- On the existence of solutions of fractional integro-differential equations (2011) (0)
- EULER-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS (2009) (0)
- One and n-dimensional fractional operators: Some open problems (2015) (0)
- Method of upper and lower solutions for coupled system of nonlinear fractional integro-differential equations with advanced arguments (2017) (0)
- Certain fractional integral operators and the generalized multi-index Mittag-Leffler functions (2015) (0)
- A real regularised fractional derivative (2012) (0)
- Science metrics on fractional calculus development since 1966 (2013) (0)
- Existence of local solutions for differential equations with arbitrary fractional order (2015) (0)
- Controllability Results for Nonlinear Fractional-Order Dynamical Systems (2012) (0)
- On development of fractional calculus during the last fifty years (2013) (0)
- Specific Efficient Methods for the Solution of Ordinary and Partial Fractional Differential Equations (2012) (0)
- Existence and stability results for nonlinear fractional order Riemann – Liouville Volterra – Stieltjes quadratic integral equations q (2014) (0)
- Generalized Stirling Numbers and Applications (2012) (0)
- Asymptotic behavior of fractional order Riemann-Liouville Volterra-Stieltjes integral equations (2015) (0)
- Selected Applications of Fractional Calculus Models in the Life Sciences (2016) (0)
- Fractional derivatives and periodic functions (2015) (0)
- Editorial (2013) (0)
- The incremental ratio based causal Fractional Calculus for distributions (2011) (0)
- VERSUS A RIEMANN-LIOUVILLE INTEGRAL TYPE MESOSCOPIC FRACTIONAL KINETIC EQUATIONS (2007) (0)
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