Abstract
In this paper, a sufficient conditions to guarantee the existence and stability of solutions for generalized nonlinear fractional differential equations of order α (1 < α < 2) are given. The main results are obtained by using Krasnoselskii’s fixed point theorem in a weighted Banach space. Two examples are given to demonstrate the validity of the proposed results.
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Ben Makhlouf, A., Boucenna, D. & Hammami, M.A. Existence and Stability Results for Generalized Fractional Differential Equations. Acta Math Sci 40, 141–154 (2020). https://doi.org/10.1007/s10473-020-0110-3
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DOI: https://doi.org/10.1007/s10473-020-0110-3
Key words
- nonlinear fractional differential equations
- stability analysis
- generalized fractional derivative
- Krasnoselskii’s fixed point theorem