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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 140

Volume : 16 , Issue : 2
DOI:
Author :
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)

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 derivatives, Nonlinear differential equations in abstract spaces, Initial value problems, Fixed point theorems.

A.M.S. subject classification

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

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