Abstract
In this paper, we present a variety of integral inequalities in Lp and Lp,r spaces for the integral operator involving generalized Mittag-Leffler function in its kernel, Hilfer fractional derivative, generalized Riemann-Liouville and Riemann-Liouville k-fractional integral operators.
Highlights
The importance of the fractional integral inequalities is enormous in establishing the uniqueness of solutions for certain fractional partial differential equations
This theory is helpful in providing bounds for the solutions of fractional boundary value problems. In this era of progress and development, the theory of fractional integral inequalities catches the attention of many mathematicians and they provide plenty of applications of integral inequalities in fractional calculus
Sajid Iqbal is working as an assistant professor of Mathematics in University of Sargodha (SubCampus Bhakkar), Bhakkar, Pakistan. He is mainly known for works in Mathematical Inequalities involving convex functions and application in fractional calculus
Summary
The importance of the fractional integral inequalities is enormous in establishing the uniqueness of solutions for certain fractional partial differential equations. We have paid attention to provide applications of the generalized integral inequality presented in (Farid et al, 2015) for fractional calculus. He is mainly known for works in Mathematical Inequalities involving convex functions and application in fractional calculus.
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