Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function
Keyword(s):
In this article, we define a new fractional technique which is known as generalized proportional fractional (GPF) integral in the sense of another function Ψ . The authors prove several inequalities for newly defined GPF-integral with respect to another function Ψ . Our consequences will give noted outcomes for a suitable variation to the GPF-integral in the sense of another function Ψ and the proportionality index ς . Furthermore, we present the application of the novel operator with several integral inequalities. A few new properties are exhibited, and the numerical approximation of these new operators is introduced with certain utilities to real-world problems.
2020 ◽
pp. 227-242
2015 ◽
Vol 46
(1)
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pp. 67-73
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2016 ◽
Vol 88
(1)
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pp. 27-31
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2020 ◽
Vol 6
(1)
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pp. 143-154