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Fractional differential equations with coupled slit-strips type integral boundary conditions

1 Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2 Department of Mathematics, Sri Vasavi College, Erode, TN, India
3 Department of Mathematics, Sona College of Technology, Salem, TN, India

Special Issues: Initial and Boundary Value Problems for Differential Equations

In this article, we discuss the existence of solutions for coupled hybrid fractional differential equations supplemented with coupled slit-strips type boundary conditions. We make use of the standard tools of fixed point theory to obtain the desired results, which are well-illustrated with examples.
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Keywords Caputo fractional derivative; hybrid system; integral boundary conditions; existence; fixed point

Citation: Bashir Ahmad, P. Karthikeyan, K. Buvaneswari. Fractional differential equations with coupled slit-strips type integral boundary conditions. AIMS Mathematics, 2019, 4(6): 1596-1609. doi: 10.3934/math.2019.6.1596


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