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Computation of Iterative Solutions Along With Stability Analysis to A Coupled System of Fractional Order Differential Equations

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2019

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Springer International Publishing

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Abstract

In this research article, we investigate sufficient results for the existence, uniqueness and stability analysis of iterative solutions to a coupled system of the nonlinear fractional differential equations (FDEs) with highier order boundary conditions. The foundation of these sufficient techniques is a combination of the scheme of lower and upper solutions together with the method of monotone iterative technique. With the help of the proposed procedure, the convergence criteria for extremal solutions are smoothly achieved. Furthermore, a major aspect is devoted to the investigation of Ulam–Hyers type stability analysis which is also established. For the verification of our work, we provide some suitable examples along with their graphical represntation and errors estimates.

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Fractional Differential Equations, Extremal Solutions, Ulam Stability, Monotone Iterative Technique

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Ali, S...et al. (2019). "Computation of Iterative Solutions Along With Stability Analysis to A Coupled System of Fractional Order Differential Equations",Advances in Difference Equations, Vol. 2019, No. 1.

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Advances in Difference Equations

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2019

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1

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