4.6 Article

Optical applications of a generalized fractional integro-differential equation with periodicity

期刊

AIMS MATHEMATICS
卷 8, 期 5, 页码 11953-11972

出版社

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2023604

关键词

fractional calculus; fractional differential equation; fractional integral operator; fractional; differential operator

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In this paper, we propose a mathematical model to describe impulsive behavior using integro-differential equations (I-DE). We investigate the periodic boundary value problems for a class of fractional I-DEs with non-quick impulses in Banach spaces. Utilizing the measure of non-compactness, the method of resolving domestic, and the fixed point result, we provide several sufficient conditions for the existence of mild outcomes for I-DE. Finally, we present a set of examples to illustrate the key findings of our research, which are contributed to recent works in this field.
Impulsive is the affinity to do something without thinking. In this effort, we model a mathematical formula types integro-differential equation (I-DE) to describe this behavior. We investigate periodic boundary value issues in Banach spaces for fractional a class of I-DEs with non -quick impulses. We provide numerous sufficient conditions of the existence of mild outcomes for I-DE utilizing the measure of non-compactness, the method of resolving domestic, and the fixed point result. Lastly, we illustrate a set of examples, which is given to demonstrate the investigations key findings. Our findings are generated some recent works in this direction.

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