Positive solutions for a system of Riemann–Liouville fractional boundary value problems with p-Laplacian operators

被引：0

作者：

Alexandru Tudorache

Rodica Luca

机构：

[1] Gh. Asachi Technical University,Faculty of Automatic Control and Computer Engineering

[2] Gh. Asachi Technical University,Department of Mathematics

来源：

Advances in Difference Equations | / 2020卷

关键词：

Systems of Riemann–Liouville fractional differential equations; Nonlocal coupled boundary conditions; Nonnegative nonlinearities; Existence of solutions; Nonexistence of solutions; 34A08; 34B15; 34B10; 34B18; 45G15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the existence and nonexistence of positive solutions for a system of Riemann–Liouville fractional differential equations with p-Laplacian operators, nonnegative nonlinearities and positive parameters, subject to coupled nonlocal boundary conditions which contain Riemann–Stieltjes integrals and various fractional derivatives. We use the Guo–Krasnosel’skii fixed point theorem in the proof of the main existence results.

引用

共 44 条

[21] On a system of Riemann–Liouville fractional differential equations with coupled nonlocal boundary conditions
Rodica Luca
Advances in Difference Equations, 2021
[22] Positive solutions for a singular fractional boundary value problem
Tudorache, Alexandru
Luca, Rodica
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (17) : 10190 - 10203
[23] On a system of Riemann-Liouville fractional differential equations with coupled nonlocal boundary conditions
Luca, Rodica
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[24] Initial value problems for neutral fractional differential equations involving a Riemann-Liouville derivative
Jankowski, Tadeusz
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (14) : 7772 - 7776
[25] Existence of Solutions for Caputo Sequential Fractional Differential Inclusions with Nonlocal Generalized Riemann-Liouville Boundary Conditions
Manigandan, Murugesan
Shanmugam, Saravanan
Rhaima, Mohamed
Sekar, Elango
FRACTAL AND FRACTIONAL, 2024, 8 (08)
[26] Existence of solutions for critical fractional p&q-Laplacian system
Chen, Wenjing
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2021, 66 (04) : 626 - 641
[27] The existence of solutions for boundary value problems of fractional differential inclusion with a parameter
Jin N.
Sun S.
Zhang C.
Han Z.
Journal of Applied Mathematics and Computing, 2016, 52 (1-2) : 387 - 402
[28] The existence and nonexistence of positive solutions to a discrete fractional boundary value problem with a parameter
Han, Zhen-Lai
Pan, Yuan-Yuan
Yang, Dian-Wu
APPLIED MATHEMATICS LETTERS, 2014, 36 : 1 - 6
[29] Existence of solutions for non-coercive variational-hemivariational inequalities involving the nonlocal fractional p-Laplacian
Liu, Yongjian
Liu, Zhenhai
Wen, Ching-Feng
Yao, Jen-Chih
OPTIMIZATION, 2022, 71 (03) : 485 - 503
[30] Positive Solutions for Semipositone m-point Boundary-value Problems
Ru Yun Ma*
Qiao Zhen Ma
Acta Mathematica Sinica, 2004, 20 : 273 - 282

← 1 2 3 4 5 →