"Controllability of Hilfer Fractional Non-Autonomous Evolution Equation" by Mohamed I. Abbas

Progress in Fractional Differentiation & Applications

Article Title

Controllability of Hilfer Fractional Non-Autonomous Evolution Equations with Nonlocal Initial Conditions

Authors

Mohamed I. Abbas, Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria 21511, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

This paper addresses the controllability of a new class of Hilfer fractional non-autonomous evolution equations with nonlocal initial conditions in Banach spaces. The investigation of the aforesaid system mainly depends on both the Krasnoselskii fixed point theorem and the properties of evolution operators. An example is proposed to clarify the theoretical results.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/070407

Recommended Citation

I. Abbas, Mohamed (2021) "Controllability of Hilfer Fractional Non-Autonomous Evolution Equations with Nonlocal Initial Conditions," Progress in Fractional Differentiation & Applications: Vol. 7: Iss. 4, Article 7.
DOI: http://dx.doi.org/10.18576/pfda/070407
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol7/iss4/7

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