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

R. Subashini; K. Jothimani; Kottakkaran Sooppy Nisar; C. Ravichandran

doi:10.1016/j.aej.2020.01.055

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

R. Subashini
, K. Jothimani
, Kottakkaran Sooppy Nisar
, C. Ravichandran

Mathematics

Research output: Contribution to journal › Article › peer-review

118 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	2891-2899
Number of pages	9
Journal	Alexandria Engineering Journal
Volume	59
Issue number	5
DOIs	https://doi.org/10.1016/j.aej.2020.01.055
State	Published - Oct 2020

Keywords

Evolution equation
Laplace transform
Measure of noncompactness
Mo¨nch's fixed point technique

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10.1016/j.aej.2020.01.055

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title = "New results on nonlocal functional integro-differential equations via Hilfer fractional derivative",

abstract = "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.",

keywords = "Evolution equation, Laplace transform, Measure of noncompactness, Mo¨nch's fixed point technique",

author = "R. Subashini and K. Jothimani and Nisar, \{Kottakkaran Sooppy\} and C. Ravichandran",

note = "Publisher Copyright: {\textcopyright} 2020 Faculty of Engineering, Alexandria University",

year = "2020",

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doi = "10.1016/j.aej.2020.01.055",

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AU - Subashini, R.

AU - Jothimani, K.

AU - Nisar, Kottakkaran Sooppy

AU - Ravichandran, C.

PY - 2020/10

Y1 - 2020/10

N2 - 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.

AB - 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.

KW - Evolution equation

KW - Laplace transform

KW - Measure of noncompactness

KW - Mo¨nch's fixed point technique

UR - https://www.scopus.com/pages/publications/85085172467

U2 - 10.1016/j.aej.2020.01.055

DO - 10.1016/j.aej.2020.01.055

M3 - Article

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SP - 2891

EP - 2899

JO - Alexandria Engineering Journal

JF - Alexandria Engineering Journal

IS - 5

ER -

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

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Keywords

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