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.
"Weighted Stepanov-Like Pseudoperiodicity and Applications." Abstr. Appl. Anal. 2014 1 - 14, 2014. https://doi.org/10.1155/2014/980869