Study of an implicit type coupled system of fractional differential equations by means of topological degree theory

被引:0
|
作者
Muhammad Sarwar
Anwar Ali
Mian Bahadur Zada
Hijaz Ahmad
Taher A. Nofal
机构
[1] University of Malakand,Department of Mathematics
[2] University of Engineering and Technology,Department of Basic Sciences
[3] International Telematic University Uninettuno,Section of Mathematics
[4] Taif University,Department of Mathematic, College of Science
关键词
Differential equations of fractional order; Integral boundary value problem; Topological degree theory; 34A08; 35R11;
D O I
暂无
中图分类号
学科分类号
摘要
In this work, a sufficient condition required for the presence of positive solutions to a coupled system of fractional nonlinear differential equations of implicit type is studied. To study sufficient conditions essential for the existence of unique solution degree theory is used. Two examples are given to illustrate the established results.
引用
收藏
相关论文
共 50 条
  • [21] Investigation of Ulam Stability Results of a Coupled System of Nonlinear Implicit Fractional Differential Equations
    Ali, Zeeshan
    Kumam, Poom
    Shah, Kamal
    Zada, Akbar
    MATHEMATICS, 2019, 7 (04)
  • [22] A coupled system of Hadamard type sequential fractional differential equations with coupled strip conditions
    Aljoudi, Shorog
    Ahmad, Bashir
    Nieto, Juan J.
    Alsaedi, Ahmed
    CHAOS SOLITONS & FRACTALS, 2016, 91 : 39 - 46
  • [23] Caputo-Hadamard fractional differential equations with nonlocal fractional integro-differential boundary conditions via topological degree theory
    Derbazi, Choukri
    Hammouche, Hadda
    AIMS MATHEMATICS, 2020, 5 (03): : 2694 - 2709
  • [24] Application of Topological Degree Method in Quantitative Behavior of Fractional Differential Equations
    Rahman, Ghaus Ur
    Ahmad, Saeed
    Haq, Fazal
    FILOMAT, 2020, 34 (02) : 421 - 432
  • [25] On degree theory for non-monotone type fractional order delay differential equations
    Shah, Kamal
    Sher, Muhammad
    Ali, Asad
    Abdeljawad, Thabet
    AIMS MATHEMATICS, 2022, 7 (05): : 9479 - 9492
  • [26] Existence criteria for fractional differential equations using the topological degree method
    Nisar, Kottakkaran Sooppy
    Alsaeed, Suliman
    Kaliraj, Kalimuthu
    Ravichandran, Chokkalingam
    Albalawi, Wedad
    Abdel-Aty, Abdel-Haleem
    AIMS MATHEMATICS, 2023, 8 (09): : 21914 - 21928
  • [27] Existence of a Coupled System of Fractional Differential Equations
    Ibrahim, Rabha W.
    Siri, Zailan
    22ND NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM22), 2015, 1682
  • [28] ON A COUPLED SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH FRACTIONAL BOUNDARY CONDITIONS
    Verma, Sachin Kumar
    Vats, Ramesh Kumar
    Nain, Ankit Kumar
    Sihag, Vizendar
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2018, 18 (01): : 59 - 73
  • [29] Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations
    Arshad Ali
    Kamal Shah
    Fahd Jarad
    Vidushi Gupta
    Thabet Abdeljawad
    Advances in Difference Equations, 2019
  • [30] Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations
    Ali, Arshad
    Shah, Kamal
    Jarad, Fahd
    Gupta, Vidushi
    Abdeljawad, Thabet
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)