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

Alexandria engineering journal, 2020-10, Vol.59 (5), p.2891-2899 [Peer Reviewed Journal]

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Title:
New results on nonlocal functional integro-differential equations via Hilfer fractional derivative
Author: Subashini, R. ; Jothimani, K. ; Nisar, Kottakkaran Sooppy ; Ravichandran, C.
Subjects: 46F12 ; 47H08 ; 47H10 ; 47J35 ; Evolution equation ; Laplace transform ; M[formula omitted]nch’s fixed point technique ; Measure of noncompactness
Is Part Of: Alexandria engineering journal, 2020-10, Vol.59 (5), p.2891-2899
Description: 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.
Publisher: Elsevier B.V
Language: English
Identifier: ISSN: 1110-0168
DOI: 10.1016/j.aej.2020.01.055
Source: DOAJ Directory of Open Access Journals

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