A new existence results for fractional integro-differential equations of order αϵ(1,2] with nonlocal conditions in Banach spaces
Journal Title: Discussiones Mathematicae Differential Inclusions Control and Optimization - Year 2017, Vol 37, Issue 2
Abstract
In this manuscript, we examine for a class of fractional integro-differential equations (abbreviated by, FIDEs) of order αϵ(1,2] with nonlocal conditions (abbreviated by, NLCs) in Banach spaces. In the beginning, a more suitable idea for mild solution is presented and verified. Then, existence of mild solution is investigated by utilizing the fractional calculus, semigroup theory, and fixed point theorems with the strongly continuous α-order cosine family. At last, an illustration is also provided to exhibit the obtained results.
Authors and Affiliations
Selvaraj Suganya, Dumitru Baleanu, Duraisamy Mallika, Mani Mallika Arjunan
Keywords
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