Multiplicity of positive solutions for Hadamard fractional differential equations with p-Laplacian operator

被引:12
作者
Rao, Sabbavarapu Nageswara [1 ]
Singh, Manoj [1 ]
Meetei, M. Zico [1 ]
机构
[1] Jazan Univ, Fac Sci, Dept Math, Jazan, Saudi Arabia
关键词
Hadamard fractional equation; Green function; Positive solution; Fixed point theorem; Cone; BOUNDARY-VALUE PROBLEM; COUPLED SYSTEM; EXISTENCE;
D O I
10.1186/s13661-020-01341-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate the multiplicity results of some positive solutions for a system of Hadamard fractional differential equations with parameters and p-Laplacian operator subject to three-point boundary conditions which contains fractional derivatives. The proofs of our main result, multiplicity of positive solutions, are derived in terms of different values of parameters by using Guo-Krasnosel'skii's fixed point theorem.
引用
收藏
页数:25
相关论文
共 56 条
[1]   A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations [J].
Ahmad, Bashir ;
Ntouyas, Sotiris K. .
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2014, 17 (02) :348-360
[3]   On Coupled Hadamard Type Sequential Fractional Differential Equations with Variable Coefficients and Nonlocal Integral Boundary Conditions [J].
Aljoudi, Shorog ;
Ahmad, Bashir ;
Nieto, Juan J. ;
Alsaedi, Ahmed .
FILOMAT, 2017, 31 (19) :6041-6049
[4]  
[Anonymous], 2015, PANAM MATH J
[5]  
[Anonymous], 1945, Bull Acad Sci URSS, Ser Geograph Geophys Izvestia Akademii Nauk SSSR
[6]  
[Anonymous], 2002, 2002211914 NASA GLEN
[7]  
[Anonymous], 1993, An Introduction to the Fractional Calculus and Fractional Differential Equations
[8]  
[Anonymous], NUMER FUNCT ANAL OPT
[9]   Coupled Systems of Sequential Caputo and Hadamard Fractional Differential Equations with Coupled Separated Boundary Conditions [J].
Asawasamrit, Suphawat ;
Ntouyas, Sotiris K. ;
Tariboon, Jessada ;
Nithiarayaphaks, Woraphak .
SYMMETRY-BASEL, 2018, 10 (12)
[10]   Fractional Navier boundary value problems [J].
Bachar, Imed ;
Maagli, Habib ;
Radulescu, Vicentiu D. .
BOUNDARY VALUE PROBLEMS, 2016, :1-14