On mild solutions of fractional impulsive differential systems of Sobolev type with fractional nonlocal conditions

This paper concerns the application of the monotone iterative technique in conjunction with the lower and upper solution techniques to investigate the existence of mild solutions and their uniqueness for fractional impulsive differential systems of the Sobolev type with fractional order nonlocal con...

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Bibliographic Details
Published in:Mathematical sciences (Karaj, Iran) Iran), 2023-09, Vol.17 (3), p.285-295
Main Authors: Karthikeyan, K., Murugapandian, G. S., Hammouch, Z.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied mathematics
Banach spaces
Calculus
Control theory
Engineering
Mathematics
Mathematics and Statistics
Original Research
Partial differential equations
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Summary:This paper concerns the application of the monotone iterative technique in conjunction with the lower and upper solution techniques to investigate the existence of mild solutions and their uniqueness for fractional impulsive differential systems of the Sobolev type with fractional order nonlocal conditions. To obtain the adequate requirements, noncompactness estimates and the generalized Gronwall inequality are utilized.
ISSN:2008-1359
2251-7456
DOI:10.1007/s40096-022-00469-x