Weak Solutions for a Coupled System of Partial Pettis Hadamard Fractional Integral Equations

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:1 Issue:2
Weak Solutions for a Coupled System of Partial Pettis Hadamard Fractional Integral Equations

Weak Solutions for a Coupled System of Partial Pettis Hadamard Fractional Integral Equations

Authors : Said Abbas, Mouﬀak Benchohra, Johnny Henderson, Jamal E Lazreg

Pages : 136-146

Doi:10.31197/atnaa.379096

View : 15 | Download : 10

Publication Date : 2017-12-20

Article Type : Research Paper

Abstract :In this paper we investigate the existence of weak solutions under the Pettis integrability assumption for a coupled system of partial integral equations via Hadamard’s fractional integral, by applying the technique of measure of weak noncompactness and Mönch’s ﬁxed point theorem.
Keywords : Functional integral equation, coupled system, partial Pettis Hadamard, fractional integral measure of weak noncompactness, weak solution

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