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Existence of solutions for some functional integrodifferential equations with nonlocal conditions
Author(s) -
Munusamy K.,
Ravichandran C.,
Nisar Kottakkaran Sooppy,
Ghanbari Behzad
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6698
Subject(s) - resolvent , mathematics , fixed point theorem , class (philosophy) , operator (biology) , mathematical analysis , type (biology) , resolvent formalism , point (geometry) , fixed point , banach space , finite rank operator , computer science , geometry , ecology , biochemistry , chemistry , repressor , artificial intelligence , biology , transcription factor , gene
In this paper, we discuss the existence of mild solution of functional integrodifferential equation with nonlocal conditions. To establish this results by using the resolvent operator theory and Sadovskii‐Krasnosel'skii type of fixed point theorem and to show the usefulness and the applicability of our results to a broad class of functional integrodifferential equations, an example is given to illustrate the theory.