Existence of Mild Solutions for a Class of Impulsive Hilfer Fractional Coupled Systems
Advances in Mathematical Physics, 2020 The aim of this paper is to give existence results for a class of coupled systems of fractional integrodifferential equations with Hilfer fractional derivative in Banach spaces.
Karim Guida +2 more
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Abstract and Applied Analysis, 2021 In this article, a numerical technique based on the Chebyshev cardinal functions (CCFs) and the Lagrange multiplier technique for the numerical approximation of the variable-order fractional integrodifferential equations are shown.
MohammadHossein Derakhshan
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Impulsive Hilfer fractional differential equations
Advances in Difference Equations, 2018 Existence and controllability results for nonlinear Hilfer fractional differential equations are studied. Sufficient conditions for existence and approximate controllability for Sobolev-type impulsive fractional differential equations are established ...
Hamdy M. Ahmed +3 more
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On the Nonlinear Impulsive $\Psi$--Hilfer Fractional Differential Equations [PDF]
, 2019 In this paper, we consider the nonlinear $\Psi$-Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existence and uniqueness of results.
Kharade, Jyoti P. +2 more
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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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Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative [PDF]
, 2014 This paper deals with the investigation of the computational solutions of an unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation by replacing the time derivative of first order by the generalized Riemann-
Haubold, H. J. +2 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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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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Anomalous diffusion associated with nonlinear fractional derivative Fokker-Planck-like equation: Exact time-dependent solutions [PDF]
, 2000 We consider the $d=1$ nonlinear Fokker-Planck-like equation with fractional derivatives $\frac{\partial}{\partial t}P(x,t)=D \frac{\partial^{\gamma}}{\partial x^{\gamma}}[P(x,t) ]^{\nu}$.
A.I. Saichev +31 more
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