On the multi-parameterized inequalities involving the tempered fractional integral operators
Pinzheng Tan, Tingsong Du
Abstract
In virtue of the conception of the tempered fractional integrals, put forward by Sabzikar et al. in the published article [J. Comput. Phys., 293: 14-28, 2015], we present a fractional integral identity together with multi-parameter. Based on it, we develop certain parameterized integral inequalities in association with differentiable mappings. Furthermore, we give two examples to verify the correctness of the derived findings.
Topics & Concepts
MathematicsParameterized complexityInequalityFractional calculusPure mathematicsMathematical analysisApplied mathematicsCalculus (dental)CombinatoricsMedicineDentistryMathematical Inequalities and ApplicationsNonlinear Differential Equations AnalysisFractional Differential Equations Solutions