Weighted Stepanov-Like Pseudoperiodicity and Applications

Abstract EN

By the weighted ergodic space, we propose a new class of functions called weighted Stepanov-like pseudoperiodic function and explore its properties.

Furthermore, the existence and uniqueness of the weighted pseudoperiodic solution to fractional integro-differential equations and nonautonomous differential equations are investigated.

Some interesting examples are presented to illustrate the main findings.