Mittag-Leffler-Hyers-Ulam Stability of Fractional Differential Equation

Cascade of Fractional Differential Equations and Generalized Mittag-Leffler Stability

This paper address a new vision for the generalized Mittag-Leffler stability of the fractional differential equations. We mainly focus on a new method, consisting of decomposing a given fractional differential equation into a cascade of many sub-fractional differential equations. And we propose a procedure for analyzing the generalized Mittag-Leffler stability for the given fractional different...

Hyers-Ulam Stability of Fibonacci Functional Equation

Hyers-Ulam stability of Volterra integral equation

We will apply the successive approximation method forproving the Hyers--Ulam stability of a linear integral equation ofthe second kind.

Hyers-Ulam Stability of Differential Equation y+2xy-2ny=0

We solve the inhomogeneous differential equation of the form y 2xy − 2ny ∞ m0 a m x m , where n is a nonnegative integer, and apply this result to the proof of a local Hyers-Ulam stability of the differential equation y 2xy − 2ny 0 in a special class of analytic functions.

Chebyshev ’ S Differential Equation and Its Hyers – Ulam Stability

We solve the inhomogeneous Chebyshev’s differential equation and apply this result to obtain a partial solution to the Hyers-Ulam stability problem for the Chebyshev’s differential equation.

Research Article Legendre's Differential Equation and Its Hyers-Ulam Stability