| Summary: | In this paper, we analyze various classes of Stepanov-<i>p</i>-almost periodic functions and Stepanov-<i>p</i>-almost automorphic functions (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mo>></mo><mn>0</mn></mrow></semantics></math></inline-formula>). The class of Stepanov-<i>p</i>-almost periodic (automorphic) functions in norm (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mo>></mo><mn>0</mn></mrow></semantics></math></inline-formula>) is also introduced and analyzed. Some structural results for the introduced classes of functions are clarified. We also provide several important theoretical examples, useful remarks and some new applications of Stepanov-<i>p</i>-almost periodic type functions to the abstract (impulsive) first-order differential inclusions and the abstract (impulsive) fractional differential inclusions.
|
|---|