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A new exploration on existence of Sobolev-type Hilfer fractional neutral integro-differential equations with infinite delay
Published in John Wiley and Sons Inc
2021
Volume: 37
   
Issue: 1
Pages: 750 - 766
Abstract
This article is primarily focusing on the existence of Sobolev-type Hilfer fractional neutral integro-differential systems via measure of noncompactness. We study our primary outcomes by employing fractional calculus, measure of noncompactness and fixed point technique. First, we discuss the existence of mild solution for the fractional evolution system. Then, we extend our results to discuss the system with nonlocal conditions. Finally, we provide theoretical and practical applications to illustrate the obtained theory. © 2020 Wiley Periodicals LLC
About the journal
JournalData powered by TypesetNumerical Methods for Partial Differential Equations
PublisherData powered by TypesetJohn Wiley and Sons Inc
ISSN0749159X