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A new Sumudu transform iterative method for time-fractional Cauchy reaction-diffusion equation. [PDF]
Springerplus, 2016 Wang K, Liu S.
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Note on fractional Mellin transform and applications. [PDF]
Springerplus, 2016 Kılıçman A, Omran M.
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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 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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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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Controllability Results of Hilfer Fractional Derivative Through Integral Contractors
Qualitative Theory of Dynamical Systems, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jothimani, K. +4 more
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