Existence criteria for fractional differential equations using the topological degree method

被引：7

作者：

Nisar, Kottakkaran Sooppy ^{[1
]}

Alsaeed, Suliman ^{[1
,2
]}

Kaliraj, Kalimuthu ^{[3
]}

Ravichandran, Chokkalingam ^{[4
]}

Albalawi, Wedad ^{[5
]}

Abdel-Aty, Abdel-Haleem ^{[6
]}

机构：

[1] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Alkharj, Dept Math, Alkharj 11942, Saudi Arabia

[2] Umm Al Qura Univ, Appl Sci Coll, Dept Math Sci, POB 715, Mecca 21955, Saudi Arabia

[3] Univ Madras, Ramanujan Inst Adv Study Math, Chennai 600005, India

[4] Kongunadu Arts & Sci Coll, Dept Math, Coimbatore 641029, India

[5] Princess Nourah bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia

[6] Univ Bisha, Coll Sci, Dept Phys, POB 344, Bisha 61922, Saudi Arabia

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 09期

关键词：

fractional calculus; integro-di ff erential equation; fixed point techniques; topological; degree method; BOUNDARY-VALUE-PROBLEMS; COUPLED SYSTEM; UNIQUENESS; INTEGRATION;

D O I：

10.3934/math.20231117

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we analyze the fractional order by using the Caputo-Hadamard fractional derivative under the Robin boundary condition. The topological degree method combined with the fixed point methodology produces the desired results. Finally to show how the key findings may be utilized, applications are presented.

引用

页码：21914 / 21928

页数：15

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