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In this paper, we study the stability in the sense of Hyers–Ulam for the following fractional differential equations including the new Caputo–Fabrizio fractional derivative: $$\begin{aligned} \left( ^{CF}D^{\alpha }y\right) \left( x\right)… Click to show full abstract
In this paper, we study the stability in the sense of Hyers–Ulam for the following fractional differential equations including the new Caputo–Fabrizio fractional derivative: $$\begin{aligned} \left( ^{CF}D^{\alpha }y\right) \left( x\right) =f\left( x\right) \quad \qquad \quad \end{aligned}$$CFDαyx=fxand $$\begin{aligned} \left( ^{CF}D^{\alpha } y \right) \left( x\right) -\lambda y\left( x\right) =f\left( x\right) . \end{aligned}$$CFDαyx-λyx=fx.Finally, two examples are given to illustrate our results.
Journal Title: Mediterranean Journal of Mathematics
Year Published: 2019
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