Discrete relaxation equations of arbitrary order with periodic boundary conditions
International Journal of Dynamics and Control(2024)
摘要
Two simple nabla fractional relaxation equations with related periodic boundary conditions are addressed in this article. Firstly, we construct the corresponding Green’s functions and obtain some of their properties. Through relevant fixed-point theorems with adequate restrictions, we provide sufficient conditions for the existence of solutions to the problems under consideration. To further illustrate how applicable previous findings are, we also offer a few examples.
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关键词
Nabla fractional difference,Relaxation equation,Periodic boundary condition,Green’s function,Fixed point,Existence of a solution
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