Study of fractional order impulsive evolution problem under nonlocal Cauchy conditions

In this research article, we discuss the important class of impulsive evolution problem of fractional order subject to nonlocal Cauchy condition. We studied the aforesaid problem via the use of coincidence degree theory of topology. The respective results are devoted to existence theory of solution....

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Published inMathematical methods in the applied sciences Vol. 44; no. 11; pp. 8516 - 8527
Main Authors Shah, Kamal, Ullah, Atta, Nieto, Juan J.
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 30.07.2021
Subjects
evaluation problems
Evolution
fractional differential equations
topological degree theory
Topology
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Summary:In this research article, we discuss the important class of impulsive evolution problem of fractional order subject to nonlocal Cauchy condition. We studied the aforesaid problem via the use of coincidence degree theory of topology. The respective results are devoted to existence theory of solution. To support our main work, we also give some test problems.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7274