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

共 50 条

[21] SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS USING FRACTIONAL EXPLICIT METHOD
Yiung, Yip Lian
Majid, Zanariah Abdul
JOURNAL OF QUALITY MEASUREMENT AND ANALYSIS, 2024, 20 (01): : 41 - 55
[22] Solution of fractional differential equations by using differential transform method
Arikoglu, Aytac
Ozkol, Ibrahim
CHAOS SOLITONS & FRACTALS, 2007, 34 (05) : 1473 - 1481
[23] Existence and approximation of solutions to fractional differential equations
Muslim, M.
MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (5-6) : 1164 - 1172
[24] Existence of a Coupled System of Fractional Differential Equations
Ibrahim, Rabha W.
Siri, Zailan
22ND NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM22), 2015, 1682
[25] On the existence of solutions for a class of fractional differential equations
Wang, JinRong
Dong, XiWang
Wei, Wei
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2012, 57 (01): : 15 - 24
[26] Existence of Solution for Delay Fractional Differential Equations
Jalilian, Yaghoub
Jalilian, Reza
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2013, 10 (04) : 1731 - 1747
[27] Existence of Solution for Delay Fractional Differential Equations
Yaghoub Jalilian
Reza Jalilian
Mediterranean Journal of Mathematics, 2013, 10 : 1731 - 1747
[28] Existence of fractional neutral functional differential equations
Agarwal, R. P.
Zhou, Yong
He, Yunyun
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (03) : 1095 - 1100
[29] EXISTENCE OF PSEUDOSOLUTIONS FOR DYNAMIC FRACTIONAL DIFFERENTIAL EQUATIONS
Sikorska-Nowak, Aneta
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 2024 (36) : 1 - 9
[30] EXISTENCE OF OSCILLATORY SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS
Zhao, Huanhuan
Liu, Youjun
Kang, Shugui
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (03): : 1771 - 1777

← 1 2 3 4 5 →