A Note on Reverse Minkowski Inequality via Generalized Proportional Fractional Integral Operator with respect to Another Function
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Problems in Engineering"
DOI: 10.1155/2020/7630260
Abstract: This study reveals new fractional behavior of Minkowski inequality and several other related generalizations in the frame of the newly proposed fractional operators. For this, an efficient technique called generalized proportional fractional integral operator with… read more here.
Keywords: generalized proportional; proportional fractional; minkowski inequality; another function ... See more keywords
On Hilfer generalized proportional fractional derivative
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DOI: 10.1186/s13662-020-02792-w
Abstract: Motivated by the Hilfer and the Hilfer–Katugampola fractional derivative, we introduce in this paper a new Hilfer generalized proportional fractional derivative, which unifies the Riemann–Liouville and Caputo generalized proportional fractional derivative. Some important properties of… read more here.
Keywords: generalized proportional; proportional fractional; fractional derivative; equation ... See more keywords
On a Nonlocal Coupled System of Hilfer Generalized Proportional Fractional Differential Equations
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DOI: 10.3390/sym14040738
Abstract: This paper studies the existence and uniqueness of solutions for a coupled system of Hilfer-type generalized proportional fractional differential equations supplemented with nonlocal asymmetric multipoint boundary conditions. We consider both the scalar and the Banach… read more here.
Keywords: system hilfer; generalized proportional; proportional fractional; fractional differential ... See more keywords