Browsing by Subject "Hyers–Ulam Stability"

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Analysis of mixed type nonlinear Volterra–Fredholm integral equations involving the Erdélyi–Kober fractional operator

Paul, Supriya Kumar; Mishra, Lakshmi Narayan; Mishra, Vishnu Narayan; Baleanu, Dumitru (2023-12)

This paper investigates the existence, uniqueness and stability of solutions to the nonlinear Volterra–Fredholm integral equations (NVFIE) involving the Erdélyi–Kober (E–K) fractional integral operator. We use the ...
Existence and Hyers–Ulam stability of stochastic integrodifferential equations with a random impulse

Kasinathan, Ramkumar; Kasinathan, Ravikumar; Sandrasekaran, Varshini; Baleanu, Dumitru (2023)

The theoretical approach of random impulsive stochastic integrodifferential equations (RISIDEs) with finite delay, noncompact semigroups, and resolvent operators in Hilbert space is investigated in this article. Initially, ...
On Hyers–Ulam Mittag-Leffler stability of discrete fractional Duffing equation with application on inverted pendulum

Selvam, A.G.M.; Baleanu, Dumitru; Alzabut, J.; Vignesh, D.; Abbas, S. (2020-12-01)

A human being standing upright with his feet as the pivot is the most popular example of the stabilized inverted pendulum. Achieving stability of the inverted pendulum has become common challenge for engineers. In this ...

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