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Journal of Mathematics and Applications

Journal of Mathematics and Applications
07/43, DOI: 10.7862/rf.2020.7

On Nonlinear Fractional Neutral Differential Equation with the ψ-Caputo Fractional Derivative

Tamer Nabil

DOI: 10.7862/rf.2020.7

Abstract

In this article, the solvability of fractional neutral differential equation involving ψ-Caputo fractional operator is considered using a Krasnoselskii's fixed point approach. Also, we establish the uniqueness of the solution under certain conditions. Ulam stabilities for the proposed problem are discussed. Finally, examples are displayed to aid the applicability of the theory results.

Full text (pdf)

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About this Article

TITLE:
On Nonlinear Fractional Neutral Differential Equation with the ψ-Caputo Fractional Derivative

AUTHORS:
Tamer Nabil

AUTHORS AFFILIATIONS:
Suez Canal University, Faculty of Computers and Informatics, Department of Basic Science, EGYPT

JOURNAL:
Journal of Mathematics and Applications
07/43

KEY WORDS AND PHRASES:
Krasnoselskii's fixed point theory; ψ-Caputo operator; Neutral differential equation; Ulam stability; Existence of solution.

FULL TEXT:
http://doi.prz.edu.pl/pl/pdf/jma/95

DOI:
10.7862/rf.2020.7

URL:
http://dx.doi.org/10.7862/rf.2020.7

RECEIVED:
2020-06-01

ACCEPTED:
2020-08-31

COPYRIGHT:
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