ON THE SOLUTION OF KINETIC EQUATION FOR KATUGAMPOLA TYPE FRACTIONAL DIFFERENTIAL EQUATIONS

被引：1
|
作者：
Ahmed, Wagdi F. S. [1 ]
Pawar, D. D. [1 ]
Salamooni, Ahmad Y. A. [1 ]
机构：
[1] Swami Raman & Teerth Marathwada Univ, Sch Math Sci, Nanded 431606, Maharashtra, India
来源：
JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES | 2021年 / 19卷 / 01期
关键词：
Fractional Kinetic equation Katugampola type fractional integral; Mittag-Leffler function; Mellin transform;
D O I：
10.1080/1726037X.2021.1966946
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we have investigate a solution of fractional Kinetic equation involving Katugampola type fractional integral by using H-function. We also present the solution of Kinetic equation involving Katugampola type fractional integral with the help of generalized I-function and Mellin transform.
引用
收藏
页码：125 / 134
页数：10
相关论文
共 50 条
  • [1] FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL KATUGAMPOLA FRACTIONAL INTEGRAL
    Emin, Sedef
    PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL I, 2018, : 155 - 157
  • [2] Fractional differential equations of Caputo-Katugampola type and numerical solutions
    Zeng, Shengda
    Baleanu, Dumitru
    Bai, Yunru
    Wu, Guocheng
    APPLIED MATHEMATICS AND COMPUTATION, 2017, 315 : 549 - 554
  • [3] Existence of Solution for a Katugampola Fractional Differential Equation Using Coincidence Degree Theory
    Srivastava, Satyam Narayan
    Pati, Smita
    Graef, John R.
    Domoshnitsky, Alexander
    Padhi, Seshadev
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2024, 21 (04)
  • [4] EXISTENCE AND CONTINUATION OF SOLUTIONS OF HILFER-KATUGAMPOLA-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS
    Salamooni, Ahmad Y. A.
    Pawar, D. D.
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2021, 13 (03): : 257 - 279
  • [5] On Caputo-Katugampola Fractional Stochastic Differential Equation
    Omaba, McSylvester Ejighikeme
    Al Sulaimani, Hamdan
    MATHEMATICS, 2022, 10 (12)
  • [6] On the controllability of Hilfer-Katugampola fractional differential equations
    Abbas, Mohamed, I
    ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2020, 24 (02): : 195 - 204
  • [7] Dynamics and stability for Katugampola random fractional differential equations
    Bekada, Fouzia
    Abbas, Said
    Benchohra, Mouffak
    Nieto, Juan J.
    AIMS MATHEMATICS, 2021, 6 (08): : 8654 - 8666
  • [8] Computational Solution of Katugampola Conformable Fractional Differential Equations via RBF Collocation Method
    Usta, Fuat
    INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES (ICANAS 2017), 2017, 1833
  • [9] Analysis of some Katugampola fractional differential equations with fractional boundary conditions
    Lupinska, Barbara
    Schmeidel, Ewa
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2021, 18 (06) : 7269 - 7279
  • [10] On Katugampola fractional order derivatives and Darboux problem for differential equations
    Boucenna, Djalal
    Ben Makhlouf, Abdellatif
    Hammami, Mohamed Ali
    CUBO-A MATHEMATICAL JOURNAL, 2020, 22 (01): : 125 - 136
12345