Bounds of Generalized Proportional Fractional Integrals in General Form via Convex Functions and Their Applications
Gauhar Rahman, Thabet Abdeljawad, Fahd Jarad, Kottakkaran Sooppy Nisar
Abstract
In this paper, our objective is to apply a new approach to establish bounds of sums of left and right proportional fractional integrals of a general type and obtain some related inequalities. From the obtained results, we deduce some new inequalities for classical generalized proportional fractional integrals as corollaries. These inequalities have a connection with some known and existing inequalities which are mentioned in the literature. In addition, some applications of the main results are presented.
Topics & Concepts
MathematicsConvex functionInequalityConnection (principal bundle)Regular polygonType (biology)Pure mathematicsApplied mathematicsFractional calculusCalculus (dental)Mathematical analysisGeometryMedicineDentistryEcologyBiologyMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsNonlinear Differential Equations Analysis