Existence and Stability Results for Differential Equations with a Variable-Order Generalized Proportional Caputo Fractional Derivative

An initial value problem for a scalar nonlinear differential equation with a variable order for the generalized proportional Caputo fractional derivative is studied.We consider the case of a piecewise constant variable order of the fractional derivative.Since the order of the fractional integrals and derivatives depends on time, we will consider se

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