A nonlocal Cauchy problem for nonlinear fractional integro-differential equations with positive constant coefficient

Document Type: Research Paper

Authors

1 Department of Mathematics, Kisan Veer Mahavidyalaya, Wai, India

2 Department of Mathematics, N.B. Navale Sinhgad College of Engg., Solapur, India

3 Department of Mathematics, Karmaveer Bhaurao Patil College,Urun--Islampur, India

10.22124/jmm.2019.11580.1199

Abstract

In this paper, we study the existence, uniqueness and stability of solutions of a nonlocal Cauchy problem for nonlinear fractional integro-differential equations with positive constant coefficient. The results heavily depend on the Banach contraction principle, Schaefer's fixed point theorem and Pachpatte's integral inequality. In the last, results are illustrated with suitable example.

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