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Fractional Integro-Differential Equations Involving $\psi$-Hilfer Fractional Derivative
Advances in Applied Mathematics and Mechanics, 2019Considering a fractional integro-differential equation involving a general form of Hilfer fractional derivative with respect to another function. We show that weighted Cauchy-type problem is equivalent to a Volterra integral equation, we also prove the ...
Mohammed S. Abdo and Satish K. Panchal
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On the nonlinear sequential ψ-Hilfer fractional differential equations
, 2020In this paper, we discuss the existence and uniqueness of solutions for a class of nonlinear sequential ψ-Hilfer fractional differential equations. This investigation is carried out by means of Schaefer’s fixed point theorem and modified version of ...
M. Abbas
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. In this work, we discuss the existence and uniqueness of solutions to the initial value problem for perturbed functional fractional q-difference equations involving q-derivative of the Caputo sense.
Nadia Allouch, Samira Hamami
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On existence of solution to mixed nonlinear fractional integrodifferential equations
, 2017In present paper we establish the existence, uniqueness and boundedness of solutions of mixed nonlinear fractional integrodifferential equations using fixed point theorem.
V. V. Kharat, D. R. Hasabe, D. Dhaigude
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