Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Estimations of fractional integral operators for convex functions and related results
View through CrossRef
AbstractThis research investigates the bounds of fractional integral operators containing an extended generalized Mittag-Leffler function as a kernel via several kinds of convexity. In particular, the established bounds are studied for convex functions and further connected with known results. Furthermore, these results applied to the parabolic function and consequently recurrence relations for Mittag-Leffler functions are obtained. Moreover, some fractional differential equations containing Mittag-Leffler functions are constructed and their solutions are provided by Laplace transform technique.
Springer Science and Business Media LLC
Title: Estimations of fractional integral operators for convex functions and related results
Description:
AbstractThis research investigates the bounds of fractional integral operators containing an extended generalized Mittag-Leffler function as a kernel via several kinds of convexity.
In particular, the established bounds are studied for convex functions and further connected with known results.
Furthermore, these results applied to the parabolic function and consequently recurrence relations for Mittag-Leffler functions are obtained.
Moreover, some fractional differential equations containing Mittag-Leffler functions are constructed and their solutions are provided by Laplace transform technique.
Related Results
Ostrowski-Type Fractional Integral Inequalities: A Survey
Ostrowski-Type Fractional Integral Inequalities: A Survey
This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional ...
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform
Background: The dynamics of fractional oscillators are generally described by fractional differential equations, which include the fractional derivative of the Caputo or Riemann-Li...
Fast Numerical Methods for Non-local Operators
Fast Numerical Methods for Non-local Operators
The fast numerical treatment of non-local operators is an important challenge in many fields of mathematics and its applications. This includes classical Fredholm integral operator...
On α-Fractional Bregman Divergence to study α-Fractional Minty’s Lemma
On α-Fractional Bregman Divergence to study α-Fractional Minty’s Lemma
In this paper fractional variational inequality problems (FVIP) and dual fractional variational inequality problems (DFVIP), Fractional minimization problems are defined with the h...
Application of Fractional Integral Transform in Fuzzy Differential Equations
Application of Fractional Integral Transform in Fuzzy Differential Equations
This chapter has included the application of fractional integral transform in the fuzzy field by presenting the solution of fuzzy fractional differential equations with the help of...
THE q-ANALOGS OF FRACTIONAL OPERATORS CONCERNING ANOTHER FUNCTION IN THE POWER-LAW
THE q-ANALOGS OF FRACTIONAL OPERATORS CONCERNING ANOTHER FUNCTION IN THE POWER-LAW
This paper presents new concepts of fractional quantum operators by connecting fractional and quantum calculus. First, we define the [Formula: see text]-analogs of the higher-order...
On Λ-Fractional fluid mechanics
On Λ-Fractional fluid mechanics
Λ-fractional analysis has already been presented as the only fractional analysis conforming with the Differential Topology prerequisites. That is, the Leibniz rule and chain rule d...
Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering
Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering
In recent years, special functions have been developed and applied in a variety of fields, such as combinatory, astronomy, applied mathematics, physics, and engineering due to thei...