Existence and stability for fractional order pantograph equations with nonlocal conditions
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Date
2020-12-26
Authors
Ahmad, Israr
Nieto, Juan Jose
Rahman, Ghaus ur
Shah, Kamal
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we study the a coupled system of fractional pantograph differential equations (FPDEs). Using degree theory, we state necessary conditions for the existence of solutions to a coupled system of fractional partial differential equations with non-local boundary conditions. Also using tools from non-linear analysis, we establish some stability results. We illustrate our theoretical results with a test problem.
Description
Keywords
Coupled system, Non-local boundary conditions, Stability theory, Pantograph equation
Citation
Ahmad, I., Nieto, J. J., Rahman, G. U., & Shah, K. (2020). Existence and stability for fractional order pantograph equations with nonlocal conditions. <i>Electronic Journal of Differential Equations, 2020</i>(132), pp. 1-16.