New results on fractional relaxation integro differential equations with impulsive conditions

FILOMAT(2023)

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摘要
The aim of this paper is to study the existence and uniqueness of solutions for nonlinear fractional relaxation impulsive integro-differential equations with boundary conditions. Some results are established by using the Banach contraction mapping principle and the Schauder fixed point theorem. An example is provided which illustrates the theoretical results.
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关键词
Fractional relaxation impulsive integro-differential equations,Riemann-Liouville fractional derivative,Liouville-Caputo fractional derivative,Existence,Uniqueness,Nonlinear equations,Fixed point
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