Picard Method for Existence, Uniqueness, and Gauss Hypergeomatric Stability of the Fractional-Order Differential Equations

Zahra Eidinejad, Reza Saadati and Manuel De La Sen

Mathematical Problems in Engineering, 2021, vol. 2021, 1-9

Abstract:

In this paper, we consider a class of fractional-order differential equations and investigate two aspects of these equations. First, we consider the existence of a unique solution, and then, using a new class of control functions, we investigate the Gauss hypergeometric stability. We use Chebyshev and Bielecki norms in order to prove these aspects by the Picard method. Finally, we give some examples to illustrate our results.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:7074694

DOI: 10.1155/2021/7074694

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