Abstract
This paper studies fractional differential equations (FDEs) with mixed fractional derivatives. Existence, uniqueness, stability, and asymptotic results are derived.
Highlights
Fractional differential equations (FDEs) arise naturally in various fields, such as economics, engineering, and physics
This paper studies fractional differential equations (FDEs) with mixed fractional derivatives
This paper is devoted to the study of mixed order nonlinear fractional differential equations (MOFDEs) of the form q
Summary
Fractional differential equations (FDEs) arise naturally in various fields, such as economics, engineering, and physics. For some existence results of FDEs we refer the reader to [1,2,3,4,5,6]. Bonilla et al [1] studied linear systems of the same order linear FDEs and obtained an explicit representation of the solution. There are very few works on the study of mixed order nonlinear fractional differential equations (MOFDEs), which is a natural extension of [1]. FDEs with equal order (i.e., q1 = · · · = qn ) are widely studied, and we refer the reader to the basic books describing FDEs, such as [7,8].
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