Existence of solution and HyersUlam stability for a coupled system of fractional differential equations with \(p\)Laplacian operator
Authors
Hasib Khan
 State Key Laboratory of HydrologyWater Resources and Hydraulic Engineering, Hohai University, 210098, Nanjing, P. R. China.
 Shaheed Benazir Bhutto University Sheringal, Dir Upper, 18000, Khyber Pakhtunkhwa, Pakistan.
Yongjin Li
 Department of Mathematics, Sun Yatsen University, 510275, Guangzhou, P. R. China.
Hongguang Sun
 State Key Laboratory of HydrologyWater Resources and Hydraulic Engineering, Hohai University, 210098, Nanjing, P. R. China.
Aziz Khan
 Department of Mathematics, University of Peshawar, 25000, Khyber Pakhtunkhwa, Pakistan.
Abstract
Models with \(p\)Laplacian operator are common in different scientific fields including; plasma physics, chemical reactions design, physics, biophysics, and many others. In this paper, we investigate existence and uniqueness of solution and HyersUlam stability for a coupled system of fractional differential equations with \(p\)Laplacian operator. The HyersUlam stability means that a differential equation
has a close exact solution which is generated by the approximate solution of the differential equation and the error in the approximation can be estimated. We use topological degree method and provide an expressive example as an application of the work.
Keywords
 Existence and uniqueness of solution
 HyersUlam stability
 topological degree method
 \(p\)Laplacian operator
MSC
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