On the controllability of Hilfer-Katugampola fractional differential equations

Abbas, Mohamed I.

doi:10.12697/acutm.2020.24.13

ACUTM

2020

DOI: 10.12697/acutm.2020.24.13

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On the controllability of Hilfer-Katugampola fractional differential equations

Mohamed I. Abbas

Abstract: By employing Kuratowski's measure of noncompactness together with Sadovskii's fixed point theorem, sufficient conditions for controllability results of Hilfer-Katugampola fractional differential equations in Banach spaces are derived.

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2021

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Hilfer fractional differential inclusions with Erdélyi–Kober fractional integral boundary condition

et al. 2021

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In this article, we debate the existence of solutions for a nonlinear Hilfer fractional differential inclusion with nonlocal Erdélyi–Kober fractional integral boundary conditions (FIBC). Both cases of convex- and nonconvex-valued right-hand side are considered. Our obtained results are new in the framework of Hilfer fractional derivative and Erdélyi–Kober fractional integral with FIBC via the fixed point theorems (FPTs) for a set-valued analysis. Some pertinent examples demonstrating the effectiveness of the theoretical results are presented.

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Hilfer fractional differential inclusions with Erdélyi–Kober fractional integral boundary condition

et al. 2021

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On the controllability of Hilfer-Katugampola fractional differential equations

Abstract: By employing Kuratowski's measure of noncompactness together with Sadovskii's fixed point theorem, sufficient conditions for controllability results of Hilfer-Katugampola fractional differential equations in Banach spaces are derived.

Cited by 1 publication

References 9 publications

Hilfer fractional differential inclusions with Erdélyi–Kober fractional integral boundary condition

Hilfer fractional differential inclusions with Erdélyi–Kober fractional integral boundary condition

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