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.
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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:
Oficyna Wydawnicza Politechniki Rzeszowskiej, al. Powstańców Warszawy 12, 35-959 Rzeszów