Applications of generalized formable transform with Ψ-Hilfer-Prabhakar derivatives

被引：0

作者：

Khalid, Mohd ^{[1
]}

Mallah, Ishfaq Ahmad ^{[2
]}

Akgul, Ali ^{[3
,4
]}

Alha, Subhash ^{[1
]}

Sakar, Necibullah ^{[3
]}

机构：

[1] Maulana Azad Natl Urdu Univ, Dept Math, Hyderabad 500032, India

[2] Guru Nanak Univ, Dept Appl Sci, Hyderabad 501506, India

[3] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkiye

[4] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2024年 / 43卷 / 07期

关键词：

Psi-Prabhakar integral; Psi-Formable transform; Psi-Hilfer Prabhakar derivatives; Mittag-Leffler function;

D O I：

10.1007/s40314-024-02930-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper introduces the Psi-formable integral transform, discusses the several essential properties and results-Convolution, Psi-formable transform of tth derivative, Psi-Riemann Liouville fractional integration and differentiation, Psi-Caputo fractional differentiation, Psi-Hilfer fractional differentiation, Psi-Prabhakar fractional integration and differentiation, and Psi-Hilfer-Prabhakar fractional derivatives. Next, we use the Fourier integral and Psi-Modifiable conversions to solve some Cauchy-type fractional differential equations using the generalized three-parameter Mittag-Leffler function and Psi-Hilfer-Prabhakar fractional derivatives

引用

页数：22

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