ON RANDOM FRACTIONAL DIFFERENTIAL COUPLED SYSTEMS WITH HILFER–KATUGAMPOLA FRACTIONAL DERIVATIVE IN BANACH SPACES

被引：0

作者：

Fredj F. ^{[1
]}

Hammouche H. ^{[1
]}

Salim A. ^{[2
,3
]}

Benchohra M. ^{[2
]}

机构：

[1] Mathematics and Applied Sciences Laboratory, Ghardaia University, Ghardaia

[2] Laboratory of Mathematics, University of Sidi Bel-Abbès, Sidi Bel-Abbès

[3] Faculty of Technology, Hassiba Benbouali University, Chlef

来源：

Journal of Mathematical Sciences | 2025年 / 289卷 / 2期

关键词：

Coupled system; Fixed point; Fractional differential equation; Generalized Banach spaces; Generalized fractional integral; Hilfer–Katugampola fractional derivative; Random solution;

D O I：

10.1007/s10958-024-07176-z

中图分类号：

学科分类号：

摘要：

This paper delves into the investigation of existence and uniqueness results concerning the Hilfer–Katugampola random nonlinear fractional differential coupled system within a generalized Banach space. Such problems represent a broadened scope, extending several existing results in the literature and offering potential avenues for furthering the development of this evolving theory. Our findings are derived through the application of various random fixed point theorems, including Banach’s random fixed point theorem, the random nonlinear alternative of the Leray–Schauder type, and Schauder’s random fixed point theorem. To validate our results, an illustrative example is presented in the final section. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

引用

页码：200 / 218

页数：18

共 39 条

[1]

Abbas S., Al Arifi N., Benchohra M., Zhou Y., Random coupled Hilfer and Hadamard fractional differential systems in generalized Banach spaces, Mathematics, 7, pp. 1-15, (2019)

[2]

Abbas S., Benchohra M., Graef J.R., Henderson J., Implicit Fractional Differential and Integral Equations: Existence and Stability, De Gruyter, Berlin, (2018)

[3]

Abbas S., Benchohra M., N'Guerekata G.M., Topics in Fractional Differential Equations, Springer, New York, (2012)

[4]

Abbas S., Benchohra M., N'Guerekata G.M., Advanced Fractional Differential and Integral Equations, (2015)

[5]

Abbas S., Benchohra M., Zhou Y., Coupled Hilfer fractional differential systems with random effects, Adv. Differ. Equ, 2018, pp. 1-12, (2018)

[6]

Ahmad B., Alsaedi A., Ntouyas S.K., Tariboon J., Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities, (2017)

[7]

Baleanu D., Diethelm K., Scalas E., Trujillo J.J., Fractional Calculus Models and Numerical Methods, World Scientific, Singapore, (2012)

[8]

Baleanu D., Guvenc Z.B., Tenreiro Machado J.A., New Trends in Nanotechnology and Fractional Calculus Applications., (2010)

[9]

Benchohra M., Bouazzaoui F., Karapinar E., Salim A., Controllability of second order functional random differential equations with delay, Mathematics, 10, (2022)

[10]

Benchohra M., Karapinar E., Lazreg J.E., Salim A., Advanced Topics in Fractional Differential Equations: A Fixed Point Approach, (2023)

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