Investigating a Coupled Hybrid System of Nonlinear Fractional Differential Equations
作者： Wiyada Kumam , Mian Bahadur Zada , Kamal Shah , Rahmat Ali Khan
DOI: 10.1155/2018/5937572
关键词:
摘要: We study sufficient conditions for existence of solutions to the coupled systems higher order hybrid fractional differential equations with three-point boundary conditions. For this motive, we apply fixed point theorem Krasnoselskii type form adequate proposed system. finish paper suitable illustrative example.
hindawi.com
core.ac.uk参考文章(24)
A. Babakhani, Existence of Solution for a Coupled System of Fractional Integro-Differential Equations on an Unbounded Domain Analysis in Theory and Applications. ,vol. 29, pp. 47- 61 ,(2013) , 10.4208/ATA.2013.V29.N1.6
N.J. Huang, Y.J. Cho, S.S. Chang, COUPLED FIXED POINT THEOREMS WITH APPLICATIONS Journal of The Korean Mathematical Society. ,vol. 33, pp. 575- 585 ,(1996)
Xiping Liu, Mei Jia, Multiple solutions of nonlocal boundary value problems for fractional differential equations on half-line Electronic Journal of Qualitative Theory of Differential Equations. pp. 1- 14 ,(2011) , 10.14232/EJQTDE.2011.1.56
Fractional Dynamics and Control Fractional Dynamics and Control. pp. 318- 318 ,(2011) , 10.1007/978-1-4614-0457-6
Brian N Lundstrom, Matthew H Higgs, William J Spain, Adrienne L Fairhall, Fractional differentiation by neocortical pyramidal neurons. Nature Neuroscience. ,vol. 11, pp. 1335- 1342 ,(2008) , 10.1038/NN.2212
V. Gafiychuk, B. Datsko, V. Meleshko, Mathematical modeling of time fractional reaction-diffusion systems Journal of Computational and Applied Mathematics. ,vol. 220, pp. 215- 225 ,(2008) , 10.1016/J.CAM.2007.08.011
Yong Chen, Hong-Li An, Numerical solutions of coupled Burgers equations with time- and space-fractional derivatives Applied Mathematics and Computation. ,vol. 200, pp. 87- 95 ,(2008) , 10.1016/J.AMC.2007.10.050
K. Balachandran, J.Y. Park, Nonlocal Cauchy problem for abstract fractional semilinear evolution equations Nonlinear Analysis-theory Methods & Applications. ,vol. 71, pp. 4471- 4475 ,(2009) , 10.1016/J.NA.2009.03.005
Christopher S. Goodrich, Existence of a positive solution to systems of differential equations of fractional order Computers & Mathematics With Applications. ,vol. 62, pp. 1251- 1268 ,(2011) , 10.1016/J.CAMWA.2011.02.039
M Benchohra, S Hamani, SK2532767 Ntouyas, None, Boundary value problems for differential equations with fractional order and nonlocal conditions Nonlinear Analysis: Theory, Methods & Applications. ,vol. 71, pp. 2391- 2396 ,(2009) , 10.1016/J.NA.2009.01.073