Results 21 to 30 of about 408 (175)
The k-fractional Hilfer derivative
International Journal of Mathematical Analysis, 2013 In this paper we study a k-version of the fractional derivative of two parameter introduced by Hilfer in [4], we calculate its Laplace transform and calculate the derivative of some functions. Also study a new operator that contains in its kernel the k-Mittag-Leffler function introduced by authors in [3].
G. A. Dorrego, R. A. Cerutti
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Controllability of damped dynamical systems modelled by Hilfer fractional derivatives
Journal of Taibah University for Science, 2022 In this article, we investigate the controllability of damped dynamical system modelled by Hilfer derivative of fractional order [Formula: see text] and [Formula: see text].
S. Naveen +3 more
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The dynamics of monkeypox disease under ψ–Hilfer fractional derivative: Application to real data
Results in Physics, 2023 The mathematical model for monkeypox infection using the ψ–Hilfer fractional derivative is presented in this study. The integer order formulation is extended to the fractional order system by employing the ψ–Hilfer fractional derivative.
Bashir Al-Hdaibat +6 more
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Hilfer fractional differential inclusions with Erdélyi–Kober fractional integral boundary condition
Advances in Difference Equations, 2021 In this article, we debate the existence of solutions for a nonlinear Hilfer fractional differential inclusion with nonlocal Erdélyi–Kober fractional integral boundary conditions (FIBC).
Adel Lachouri +4 more
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Integral transforms of the κ-Hilfer fractional derivative [PDF]
, 2021 In this paper, some important properties concerning the κ -Hilfer fractional derivative are discussed. Integral transforms for these operators are derived as particular cases of the Jafari transform.
Felix Costa +2 more
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Integral Transforms of the Hilfer-Type Fractional Derivatives
Asian Research Journal of Mathematics, 2022 In this paper, some important properties concerning the Hilfer-type fractional derivative are discussed. Integral transforms for these operators are derived as particular cases of the Jafari transform, Mellin transform and Fourier transform. These integral transforms are used to derive a fractional version of the fundamental theorem of calculus.
J. Vanterler da C. Sousa +3 more
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Journal of Inequalities and Applications, 2019 This paper is devoted to studying the Lyapunov-type inequality for sequential Hilfer fractional boundary value problems. We first provide some properties of Hilfer fractional derivative, and then establish Lyapunov-type inequalities for a sequential ...
Wei Zhang, Wenbin Liu
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Studying the Stability of the ψ-Hilfer Fractional Differential System
Complexity, 2022 This paper devotes to the study on the stability and decay of solution to fractional differential system involving the ψ-Hilfer fractional derivative of order α∈0,1 and type β∈0,1.
Jinping Yang, Zhiqiang Li
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On Hilfer cotangent fractional derivative and a particular class of fractional problems
AIMS Mathematics, 2023 <abstract><p>In this work, a novel Hilfer cotangent fractional derivative is presented. This derivative combines the characteristics of the Riemann-Liouville cotangent fractional derivative and the Caputo cotangent fractional derivative. The essential properties of the newly introduced derivative are discussed. By utilizing this derivative,
Lakhlifa Sadek, Tania A. Lazăr
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Generalized Laplace transform and tempered Ψ-Caputo fractional derivative
Mathematical Modelling and Analysis, 2023 In this paper, images of the tempered Ψ-Hilfer fractional integral and the tempered Ψ-Caputo fractional derivative under the generalized Laplace transform are derived.
Milan Medveď, Michal Pospíšil
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