Problem Involving the Riemann-Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations

被引:1
作者
Bouazza, Zoubida [1 ]
Souid, Mohammed Said [2 ]
Gunerhan, Hatira [3 ,4 ]
Shokri, Ali [5 ]
机构
[1] Univ Tiaret, Dept Informat, Tiaret, Algeria
[2] Univ Tiaret, Dept Econ Sci, Tiaret, Algeria
[3] Kafkas Univ, Fac Educ, Dept Math, Kars, Turkiye
[4] Middle East Univ, MEU Res Unit, Amman, Jordan
[5] Univ Maragheh, Fac Sci, Dept Math, Maragheh 8311155181, Iran
关键词
BOUNDARY-VALUE-PROBLEMS; UNIQUENESS; EXISTENCE;
D O I
10.1155/2024/5595720
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The problem of boundary values for implicit differential equations with nonlinear fractions involving the variable order and the Riemann-Liouville derivative is examined in this article along with its existence and stability. Specifically, the locally solvability, which is equivalent to the existence of solutions, is related to the symmetry of a transformation of a nonlinear equations system. To demonstrate the reliability of the found results, we design an example.
引用
收藏
页数:14
相关论文
共 52 条
[1]  
Aguilar G., 2018, Physics of Metals, V494, P5217
[2]  
Ahmed I, 2021, THAI J MATH, V19, P897
[3]   An epidemic prediction from analysis of a combined HIV-COVID-19 co-infection model via ABC-fractional operator [J].
Ahmed, Idris ;
Goufo, Emile F. Doungmo ;
Yusuf, Abdullahi ;
Kumam, Poom ;
Chaipanya, Parin ;
Nonlaopon, Kamsing .
ALEXANDRIA ENGINEERING JOURNAL, 2021, 60 (03) :2979-2995
[4]   Existence and uniqueness results for Φ-Caputo implicit fractional pantograph differential equation with generalized anti-periodic boundary condition [J].
Ahmed, Idris ;
Kumam, Poom ;
Abdeljawad, Thabet ;
Jarad, Fahd ;
Borisut, Piyachat ;
Demba, Musa Ahmed ;
Kumam, Wiyada .
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[5]   Solutions for impulsive fractional pantograph differential equation via generalized anti-periodic boundary condition [J].
Ahmed, Idris ;
Kumam, Poom ;
Abubakar, Jamilu ;
Borisut, Piyachat ;
Sitthithakerngkiet, Kanokwan .
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[6]   Analysis of Caputo fractional-order model for COVID-19 with lockdown [J].
Ahmed, Idris ;
Baba, Isa Abdullahi ;
Yusuf, Abdullahi ;
Kumam, Poom ;
Kumam, Wiyada .
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[7]   Stability analysis for boundary value problems with generalized nonlocal condition via Hilfer-Katugampola fractional derivative [J].
Ahmed, Idris ;
Kumam, Poom ;
Jarad, Fahd ;
Borisut, Piyachat ;
Sitthithakerngkiet, Kanokwan ;
Ibrahim, Alhassan .
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[8]   Stability Results for Implicit Fractional Pantograph Differential Equations via φ-Hilfer Fractional Derivative with a Nonlocal Riemann-Liouville Fractional Integral Condition [J].
Ahmed, Idris ;
Kumam, Poom ;
Shah, Kamal ;
Borisut, Piyachat ;
Sitthithakerngkiet, Kanokwan ;
Ahmed Demba, Musa .
MATHEMATICS, 2020, 8 (01)
[9]   Triki-Biswas model: Its symmetry reduction, Nucci's reduction and conservation laws [J].
Akbulut, A. ;
Mirzazadeh, M. ;
Hashemi, M. S. ;
Hosseini, K. ;
Salahshour, S. ;
Park, C. .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2023, 37 (07)
[10]   UNIQUENESS OF SOLUTIONS TO INITIAL VALUE PROBLEM OF FRACTIONAL DIFFERENTIAL EQUATIONS OF VARIABLE-ORDER [J].
An, Jiahui ;
Chen, Pengyu .
DYNAMIC SYSTEMS AND APPLICATIONS, 2019, 28 (03) :607-623