ON THE WEIGHTED FRACTIONAL OPERATORS OF A FUNCTION WITH RESPECT TO ANOTHER FUNCTION
Fahd Jarad, Thabet Abdeljawad, Kamal Shah
Abstract
The primary goal of this study is to define the weighted fractional operators on some spaces. We first prove that the weighted integrals are bounded in certain spaces. Afterwards, we discuss the weighted fractional derivatives defined on absolute continuous-like spaces. At the end, we present a modified Laplace transform that can be applied perfectly to such operators.
Topics & Concepts
MathematicsLaplace transformBounded functionFractional calculusFunction (biology)Pure mathematicsMathematical analysisEvolutionary biologyBiologyFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Boundary Problems