Results 1 to 10 of about 2,554 (131)
Results in Physics, 2021 This paper is concerned to present and apply a new generalized fractional derivative, that is the Generalized Hilfer-type (GH) fractional derivative.
Tahir Ullah Khan +2 more
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Hilfer Fractional Quantum Derivative and Boundary Value Problems
Mathematics, 2022 In this paper, we introduce an extension of the Hilfer fractional derivative, the “Hilfer fractional quantum derivative”, and establish some of its properties.
Phollakrit Wongsantisuk +3 more
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Maximum Principle for Nonlinear Fractional Differential Equations with the Hilfer Derivative
Fractal and Fractional, 2023 In this paper, two significant inequalities for the Hilfer fractional derivative of a function in the space ACγ([0,b],Rn), 0≤γ≤1 are obtained. We first verified the extremum principle for the Hilfer fractional derivative.
Abu Bakr Elbukhari, Zhenbin Fan, Gang Li
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Existence Results for Hilfer Fractional Differential Equations with Variable Coefficient
Fractal and Fractional, 2021 The aim of this paper is to establish the existence and uniqueness results for differential equations of Hilfer-type fractional order with variable coefficient.
Fang Li, Chenglong Wang, Huiwen Wang
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On Hilfer generalized proportional fractional derivative
Advances in Difference Equations, 2020 Motivated by the Hilfer and the Hilfer–Katugampola fractional derivative, we introduce in this paper a new Hilfer generalized proportional fractional derivative, which unifies the Riemann–Liouville and Caputo generalized proportional fractional ...
Idris Ahmed +4 more
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Infinite Interval Problems for Fractional Evolution Equations
Mathematics, 2022 In this paper, we investigate infinite interval problems for the fractional evolution equations with Hilfer fractional derivative. By using the generalized Ascoli–Arzelà theorem and some new techniques, we prove the existence of mild solutions of Hilfer ...
Yong Zhou
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On the (k,s)-Hilfer-Prabhakar Fractional Derivative With Applications to Mathematical Physics
Frontiers in Physics, 2020 In this paper we introduce the (k, s)-Hilfer-Prabhakar fractional derivative and discuss its properties. We find the generalized Laplace transform of this newly proposed operator. As an application, we develop the generalized fractional model of the free-
Muhammad Samraiz +4 more
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Euler–Lagrange equations for variational problems involving the Riesz–Hilfer fractional derivative
Journal of Taibah University for Science, 2020 In this paper, we obtain the Euler-Lagrange equations for different kind of variational problems with the Lagrangian function containing the Riesz-Hilfer fractional derivative.
A. G. Ibrahim, A. A. Elmandouh
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AIMS Mathematics, 2022 In this paper, we present new Lyapunov-type inequalities for Hilfer-Katugampola fractional differential equations. We first give some unique properties of the Hilfer-Katugampola fractional derivative, and then by using these new properties we convert the
Wei Zhang , Jifeng Zhang, Jinbo Ni
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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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