Analysis on nonlinear differential equation with a deviating argument via Faedo–Galerkin method

Autor: M. Manjula, E. Thilakraj, P. Sawangtong, K. Kaliraj
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Results in Applied Mathematics, Vol 22, Iss , Pp 100452- (2024)
Druh dokumentu: article
ISSN: 2590-0374
DOI: 10.1016/j.rinam.2024.100452
Popis: This article focuses on the impulsive fractional differential equation (FDE) of Sobolev type with a nonlocal condition. Existence and uniqueness of the approximations are determined via analytic semigroup and fixed point method. Convergence’s approximation is demonstrated by the idea of fractional power of a closed linear operator. Using an approximation procedure, a novel approach is reached. An illustration is used to clarify our key findings.
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