New results on nonlocal functional integro-differential equations via Hilfer fractional derivative

In this work, the existence of Hilfer fractional integro-differential equations with nonlocal conditions are discussed. To obtain such result, we use Mo¨nch fixed point theorem and the techniques of noncompactness. An application is presented to validate the theoretical results.

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Bibliographic Details
Published in:Alexandria engineering journal 2020-10, Vol.59 (5), p.2891-2899
Main Authors: Subashini, R., Jothimani, K., Nisar, Kottakkaran Sooppy, Ravichandran, C.
Format: Article
Language:English
Subjects:
46F12
47H08
47H10
47J35
Evolution equation
Laplace transform
M[formula omitted]nch’s fixed point technique
Measure of noncompactness
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Description
Summary:In this work, the existence of Hilfer fractional integro-differential equations with nonlocal conditions are discussed. To obtain such result, we use Mo¨nch fixed point theorem and the techniques of noncompactness. An application is presented to validate the theoretical results.
ISSN:1110-0168
DOI:10.1016/j.aej.2020.01.055