Document Type: Research Paper
Department of Mathematics, Poona College of Arts, Science and Commerce, Camp, Pune, India & Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Al-Dawaser 11991, Saudi Arabia
Department of Mathematics, Pratishthan Mahavidyalaya, Paithan, Aurangabad, India
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.