Results 31 to 40 of about 8,350 (261)

Hyers–Ulam stability of second-order differential equations using Mahgoub transform

, 2021
The aim of this research is investigating the Hyers–Ulam stability of second-order differential equations. We introduce a new method of investigation for the stability of differential equations by using the Mahgoub transform. This is the first attempt of
Antony Raj Aruldass, Divyakumari Pachaiyappan, Choonkill Park   +2 more
semanticscholar   +1 more source

Hyers–Ulam stability of Euler’s equation

Applied Mathematics Letters, 2011
AbstractWe prove that Euler’s equation x1∂u∂x1+x2∂u∂x2+⋯+xn∂u∂xn=αu, characterising homogeneous functions, is stable in Hyers–Ulam sense if and only if α∈R∖{0}.
Dalia Sabina Cimpean, Dorian Popa
openaire   +1 more source

On existence and stability results to a class of boundary value problems under Mittag-Leffler power law

Advances in Difference Equations, 2020
Some essential conditions for existence theory and stability analysis to a class of boundary value problems of fractional delay differential equations involving Atangana–Baleanu-Caputo derivative are established. The deserted results are derived by using
Gauhar Ali, Kamal Shah, Thabet Abdeljawad, Hasib Khan, Ghaus Ur Rahman, Aziz Khan   +5 more
doaj   +1 more source

Existence and Stability of Implicit Fractional Differential Equations with Stieltjes Boundary Conditions Involving Hadamard Derivatives

Complexity, 2021
In this article, we make analysis of the implicit fractional differential equations involving integral boundary conditions associated with Stieltjes integral and its corresponding coupled system. We use some sufficient conditions to achieve the existence
Danfeng Luo, Mehboob Alam, Akbar Zada, Usman Riaz, Zhiguo Luo   +4 more
doaj   +1 more source

Controllability and Hyers–Ulam Stability of Fractional Systems with Pure Delay

Fractal and Fractional, 2022
Linear and nonlinear fractional-delay systems are studied. As an application, we derive the controllability and Hyers–Ulam stability results using the representation of solutions of these systems with the help of their delayed Mittag–Leffler matrix ...
B. Almarri, Xingtao Wang, Ahmed M. Elshenhab   +2 more
semanticscholar   +1 more source

Hyers–Ulam and Hyers–Ulam–Rassias Stability of First-Order Nonlinear Dynamic Equations

Qualitative Theory of Dynamical Systems, 2021
We present several new sufficient conditions for Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear dynamic equations for functions defined on a time scale with values in a Banach space.
Maryam A. Alghamdi, Mymonah Alharbi, Martin Bohner, Alaa E. Hamza   +3 more
openaire   +3 more sources

Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions

Advances in Difference Equations, 2020
This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results
Akbar Zada, Jehad Alzabut, Hira Waheed, Ioan-Lucian Popa   +3 more
doaj   +1 more source

Stability analysis for a class of implicit fractional differential equations involving Atangana–Baleanu fractional derivative

Advances in Difference Equations, 2021
Some fundamental conditions and hypotheses are established to ensure the existence, uniqueness, and stability to a class of implicit boundary value problems (BVPs) with Atangana–Baleanu–Caputo type derivative and integral.
Asma, Sana Shabbir, Kamal Shah, Thabet Abdeljawad   +3 more
doaj   +1 more source

Ulam-Type Stability for a Boundary-Value Problem for Multi-Term Delay Fractional Differential Equations of Caputo Type

Axioms, 2022
A boundary-value problem for a couple of scalar nonlinear differential equations with a delay and several generalized proportional Caputo fractional derivatives is studied. Ulam-type stability of the given problem is investigated.
Ravi P. Agarwal, Snezhana Hristova
doaj   +1 more source

A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers–Ulam stability

Boundary Value Problems, 2021
In this work, we investigate the existence, uniqueness, and stability of fractional differential equation with multi-point integral boundary conditions involving the Caputo fractional derivative.
Mehboob Alam, A. Zada, I. Popa, Alireza Kheiryan, S. Rezapour, Mohammed K. A. Kaabar   +5 more
semanticscholar   +1 more source