Title of article
Initial value problem for a fractional neutral differential equation with infinite delay
Author/Authors
Abdo, Mohammed S. Department of Mathematics - Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India , Panchal, Satish K. Department of Mathematics - Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India
Pages
12
From page
1195
To page
1206
Abstract
We consider the initial value problem for a class of nonlinear fractional neutral functional differential equations with infinite delay involving the standard fractional derivative in the sense of Caputo. By using a variety of tools of fractional calculus including the Banach contraction principle and the Schaefer fixed point theorem, the existence, uniqueness and continuous dependence results are obtained in the space of continuous functions.
Keywords
fractional functional differential equations , fractional derivative and fractional integral , existence and continuous dependence , fixed point theorem
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2021
Record number
2607831
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