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Existence and uniqueness for a problem involving Hilfer fractional derivative
Computers and Mathematics With Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khaled M Furati, Nasser-Eddine Tatar
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Time-fractional diffusion equation with $$\psi $$-Hilfer derivative
Computational and Applied Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vieira, Nelson +2 more
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Time-fractional telegraph equation with ψ-Hilfer derivatives
Chaos, Solitons & Fractals, 2022This paper deals with the investigation of the solution of the time-fractional telegraph equation in higher dimensions with $\psi$-Hilfer fractional derivatives. By application of the Fourier and $\psi$-Laplace transforms the solution is derived in closed form in terms of bivariate Mittag-Leffler functions in the Fourier domain and in terms of ...
Vieira, Nelson +2 more
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Fractional differential equations with a $$\psi $$-Hilfer fractional derivative
Computational and Applied Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An operational calculus approach to Hilfer–Prabhakar fractional derivatives
Banach Journal of Mathematical Analysis, 2023The authors employ Mikusiński's operational calculus to study the Hilfer-Prabhakar fractional derivative operator. By using an algebraic interpretation of the latter derivative, a number of fractional differential equations are solved.
Arran Fernandez +2 more
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Fractional optimal reachability problems withψ‐Hilfer fractional derivative
Mathematical Methods in the Applied Sciences, 2022The aim of this article is to investigate the optimal reachability problem in terms of theψ‐Hilfer fractional derivative for a fractional dynamical system. Euler–Lagrange equations are used to obtain the necessary optimality constraints for the fractional optimal reachability problem (FORP).
M. Vellappandi +2 more
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On Some Generalizations of the Bi-Ordinal Hilfer’s Fractional Derivative
Cybernetics and Systems AnalysisThe article is devoted to the generalization of the concept of bi-ordinal Hilfer’s fractional derivative, previously introduced in an author’s work. In particular, the concept of the bi-ordinal Hilfer’s derivative of a function with respect to another function and proportional bi-ordinal Hilfer derivative of a function with respect to another function ...
V M Bulavatsky, Bulavatsky V M
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Qualitative analysis of fractional differential equations with \(\psi\)-Hilfer fractional derivative
2021Summary: In this paper, we investigate the solutions of a class of \(\psi\)-Hilfer fractional differential equations with the initial values in the sense of \(\psi\)-fractional integral by using the successive approximation techniques. Next, the continuous dependence of a solution for the given Cauchy-type problem is presented.
Baghani, Omid +2 more
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Stochastic differential inclusions with Hilfer fractional derivative
Annals of the University of Craiova, Mathematics and Computer Science Series, 2022In this paper, we study the existence of mild solutions of Hilfer fractional stochastic differential inclusions driven by sub fractional Brownian motion in the cases when the multivalued map is convex and non convex. The results are obtained by using fixed point theorem. Finally an example is given to illustrate the obtained results.
Meryem Chaouche, Toufik Guendouzi
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A Study on Langevin Equations with ψ-Hilfer Fractional Derivative
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity, 2019Summary: In this paper, we discuss the existence, uniqueness and four types of Ulam stability results for a general class of Langevin equations. An example is given to illustrate the applicability of these results.
Harikrishnan, S. +2 more
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