EXISTENCE AND UNIQUENESS SOLUTIONS OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE POINT CONDITIONS

Deepak Dhiman; Ashok Kumar; Lakshmi Narayan Mishra

Deepak Dhiman Department of Mathematics, H. N. B. Garhwal University, Srinagar - 246174, INDIA

Ashok Kumar Department of Mathematics, H. N. B. Garhwal University, Srinagar - 246174, INDIA

Lakshmi Narayan Mishra Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University Vellore 632 014, Tamil Nadu, INDIA

Volume 16, Issue 2 Pages 219-240 August 30, 2020 217 downloads

Article overview

Abstract

In this article, we prove the existence of solutions of fractional integro-differential equations with infinite point conditions by using fractional calculus and fixed point theorems. Further continuous dependence on initial point, on nonlocal data, on the functional is also studied. Finally, the obtained results are verified with the help of some examples.

Keywords and Phrases

Functional-differential equations with fractional derivativesNonlinear differential equations in abstract spacesInitial value problemsFixed point theorems.

AMS Subject Classification

34K37, 34G60, 34A12, 47H10.

Reference information

How to Cite

Deepak Dhiman, Ashok Kumar, Lakshmi Narayan Mishra (2020). EXISTENCE AND UNIQUENESS SOLUTIONS OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE POINT CONDITIONS. South East Asian Journal of Mathematics and Mathematical Sciences, 16(2), 219-240.

Back to this issue