New Results Achieved for Fractional Differential Equations with Riemann-Liouville Derivatives of Nonlinear Variable Order

被引：3

作者：

Abdelhamid, Hallouz ^{[1
]}

Stamov, Gani ^{[2
]}

Souid, Mohammed Said ^{[3
]}

Stamova, Ivanka ^{[2
]}

机构：

[1] Univ Tiaret, Dept Math, Lab Informat & Math, Tiaret 14035, Algeria

[2] Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA

[3] Univ Tiaret, Dept Econ Sci, Tiaret 14035, Algeria

来源：

AXIOMS | 2023年 / 12卷 / 09期

关键词：

fractional derivatives and integrals of variable order; fixed point theorem; initial value problem; uniform stability; BOUNDARY-VALUE-PROBLEMS; NUMERICAL-METHODS; EXISTENCE;

D O I：

10.3390/axioms12090895

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proposes new existence and uniqueness results for an initial value problem (IVP) of fractional differential equations of nonlinear variable order. Riemann-Liouville-type fractional derivatives are considered in the problem. The new fundamental results achieved in this work are obtained by using the inequalities technique and the fixed point theory. In addition, uniform stability criteria for the solutions are derived. The accomplished results are new and complement the scientific research in the field. A numerical example is composed to show the efficacy and potency of the proposed criteria.

引用

页数：15

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