On Generalized Proportional Fractional Order Derivatives and Darboux Problem for Partial Differential Equations

被引：2

作者：

Ben Makhlouf, Abdellatif ^{[1
]}

Benjemaa, Mondher ^{[1
]}

Boucenna, Djalal ^{[2
]}

Mchiri, Lassaad ^{[3
]}

Rhaima, Mohamed ^{[4
]}

机构：

[1] Sfax Univ, Fac Sci Sfax, Dept Math, Sfax, Tunisia

[2] Higher Normal Sch Technol Educ ENSET, Lab Phys Chem & Biol Mat, Skikda 21000, Algeria

[3] Univ Evry Val dEssonne, ENSIIE, 1 Sq Resistance, F-91025 Evry Courcouronnes, France

[4] King Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi Arabia

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2023年 / 2023卷

关键词：

D O I：

10.1155/2023/6648524

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The study of the existence and uniqueness of solutions to 2D systems utilizing the generalized proportional fractional derivative operator is the focus of this work. We also derive a finite difference scheme in order to numerically approximate such an operator, and we prove that the method we propose is convergent. Several tests are performed at the end to illustrate the robustness of our algorithm.

引用

页数：22

共 22 条

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[5] Transmissibility of epidemic diseases caused by delay with local proportional fractional derivative
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[7] Darboux problem for proportional partial fractional differential equations
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[J]. CHAOS SOLITONS & FRACTALS, 2023, 166
[8] ULAM-HYERS-RASSIAS MITTAG-LEFFLER STABILITY FOR THE DARBOUX PROBLEM FOR PARTIAL FRACTIONAL DIFFERENTIAL EQUATIONS
Ben Makhlouf, Abdellatif
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[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2022, 51 (05) : 1541 - 1551
[9] A COUPLED SYSTEM OF NONLINEAR LANGEVIN FRACTIONAL q-DIFFERENCE EQUATIONS ASSOCIATED WITH TWO DIFFERENT FRACTIONAL ORDERS IN BANACH SPACE
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[J]. KRAGUJEVAC JOURNAL OF MATHEMATICS, 2024, 48 (04): : 555 - 575
[10] Investigation of the Generalized Proportional Langevin and Sturm-Liouville Fractional Differential Equations via Variable Coefficients and Antiperiodic Boundary Conditions with a Control Theory Application Arising from Complex Networks
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[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022

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