On Hyers-Ulam-Rassias stability of fractional differential equations with Caputo derivative

Abstract

In this article, we study the stability problem of some fractional differential equations in the sense of Hyers-Ulam and Hyers-Ulam-Rassias based on some fixed point techniques. In this way, we improve and generalize some recent results by dropping some basic assumptions.

The Cădariu-Radu Method for Existence, Uniqueness and Gauss Hypergeometric Stability of Ω-Hilfer Fractional Differential Equations

“…In this section, as an application, we apply our main result to prove an example. Our main result can be applied for recent results presented in [25][26][27][28][29][30][31][32][33][34][35]. Example 1.…”

Existence–Uniqueness and Wright Stability Results of the Riemann–Liouville Fractional Equations by Random Controllers in MB-Spaces

“…In 2008, Mihet and Radu [16,17] introduced a new method to investigate random stability in MB-spaces and then some authors used this method to get stability results for new equations [18][19][20][21][22][23][24][25][26][27][28][29][30]. Here, we use the Mihet and Radu method and Theorem 1 to investigate random Wright stability of (3) and improve recent results [31]; we can suggest [32][33][34] for more details.…”

Incomplete Metric With The Application For Integral Equations of Volterra Type

“…e proof comes to a finish with the eorem 2.5. In fixed point theory, generalization of Ulam stability [16,24] has piqued the interest of various scholars (see [25][26][27]). In this section, we will look at the Hyers-Ulam-Rassias-Wright stability of the integral (54).…”