Existence and uniqueness of integrable solutions of fractional order initial value equations

Author(s):

Bhausaheb Sontakke , Amjad Shaikh * , Kottakkaran Nisar

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
This paper is devoted to investigate some existence and uniqueness results of integrable solutions for nonlinear fractional order initial value differential equations involving Caputo operator. We develop the existence of integral solution using Schauder's fixed point theorem. In addition, by applying the Banach contraction principle, we establish uniqueness result. To illustrate the applicability of main results, two examples are presented.
Keywords:

Integrable solution , existence , uniqueness , Caputo operator , fixed point theorems

Language:
English
Published:
Journal of Mathematical Modeling, Volume:6 Issue: 2, Summer-Autumn 2018
Pages:
137 to 148
https://www.magiran.com/p1916955