Results 21 to 30 of about 2,623 (193)
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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Null Controllability of Hilfer Fractional Stochastic Differential Inclusions
Fractal and Fractional, 2022 This paper gives the null controllability for nonlocal stochastic differential inclusion with the Hilfer fractional derivative and Clarke subdifferential.
Hamdy M. Ahmed +3 more
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On the ψ -Hilfer fractional derivative
Communications in Nonlinear Science and Numerical Simulation, 2018 In this paper we introduce a new fractional derivative with respect to another function the so-called $\psi$-Hilfer fractional derivative. We discuss some properties and important results of the fractional calculus. In this sense, we present some uniformly convergent sequence of function results and examples involving the Mittag-Leffler function with ...
J. Vanterler da C. Sousa +1 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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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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Finite-time stability of nonlinear stochastic ψ-Hilfer fractional systems with time delay
AIMS Mathematics, 2022 In this paper, we study the finite time stability of stochastic ψ-Hilfer fractional-order time-delay systems. Under the stochastic analysis techniques and the generalized Gronwall's inequality for ψ-fractional derivative, the criterion of finite time ...
Qing Yang , Chuanzhi Bai , Dandan Yang
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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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Fractal and Fractional, 2023 In this paper, the Kharrat–Toma transforms of the Prabhakar integral, a Hilfer–Prabhakar (HP) fractional derivative, and the regularized version of the HP fractional derivative are derived.
Ved Prakash Dubey +3 more
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On Some Operators Involving Hadamard Derivatives [PDF]
, 2013 In this paper we introduce a novel Mittag--Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard fractional derivatives or Hyper-Bessel-type operators.
Garra, Roberto, Polito, Federico
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AIMS Mathematics, 2020 In the present article, we investigate complete Cattaneo-Hristov diffusion (CCHD) equation and fractional diffusion equation in one and two dimensional spaces and find their analytic solution by using Elzaki transform technique under the Dirichlet ...
Yudhveer Singh +3 more
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