Results 11 to 20 of about 408 (175)
Some k-fractional extension of Grüss-type inequalities via generalized Hilfer–Katugampola derivative [PDF]
Advances in Difference Equations, 2021 In this paper, we prove several inequalities of the Grüss type involving generalized k-fractional Hilfer–Katugampola derivative. In 1935, Grüss demonstrated a fascinating integral inequality, which gives approximation for the product of two functions ...
Samaira Naz +2 more
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Fractional Gradient Methods via ψ-Hilfer Derivative
Fractal and Fractional, 2023 Motivated by the increase in practical applications of fractional calculus, we study the classical gradient method under the perspective of the ψ-Hilfer derivative.
Nelson Vieira +2 more
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Anomalous Relaxation in Dielectrics with Hilfer Fractional Derivative [PDF]
Journal of Applied Nonlinear Dynamics, 2021 Summary: We introduce a new relaxation function depending on an arbitrary parameter as a solution of a kinetic equation in the same way as the relaxation function introduced empirically by Debye, Cole-Cole, Davidson-Cole and Havriliak-Negami regarding, anomalous relaxation in dielectrics, which are recovered as particular cases.
Gómez Plata, A. R. +2 more
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$q$-ANALOGUE OF HILFER-KATUGAMPOLA FRACTIONAL DERIVATIVES AND APPLICATIONS
South East Asian Journal of Mathematics and Mathematical Sciences, 2023 Anovel qp-variant of the q−Mittag-Leffler functionandaquantum analoguepDα,β a±,qoftheHilfer-Katugampolafractionalderivativearedefined.Then, generalizationsoftheq−Taylor’sformulaandtheq−differentialtransformandits inverseareobtainedusingtheoperator pDα,β a±,q. Additionally, afewpropertiesof thenewlydefinedq-differential transformareestablished. Finally,
Mallah, Ishfaq Ahmad +2 more
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On a Differential Equation Involving Hilfer‐Hadamard Fractional Derivative [PDF]
Abstract and Applied Analysis, 2012 This paper studies a fractional differential inequality involving a new fractional derivative (Hilfer‐Hadamard type) with a polynomial source term. We obtain an exponent for which there does not exist any global solution for the problem. We also provide an example to show the existence of solutions in a wider space for some exponents.
Qassim, M. D. +2 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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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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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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