Results 31 to 40 of about 1,494 (161)
Advances in Difference Equations, 2021 In this research work, a class of multi-term fractional pantograph differential equations (FODEs) subject to antiperiodic boundary conditions (APBCs) is considered.
Muhammad Bahar Ali Khan +5 more
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Fractal and Fractional, 2023 We study several stability properties on a finite or infinite interval of inhomogeneous linear neutral fractional systems with distributed delays and Caputo-type derivatives.
Hristo Kiskinov +3 more
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Ulam-Hyers stability for partial differential equations [PDF]
Creative Mathematics and Informatics, 2012 Using the weakly Picard operator technique, we will present some Ulam-Hyers stability results for some partial differential equations.
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Ulam–Hyers stability and exponentially dichotomic equations in Banach spaces
Electronic Journal of Qualitative Theory of Differential
Equations, 2023 For finite-dimensional linear differential systems with bounded coefficients, we prove that their exponential dichotomy on R is equivalent to their Ulam–Hyers stability on R with uniqueness. We also consider abstract non-autonomous evolution equations which are exponentially bounded and exponentially dichotomic and prove that ...
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Stability of Partial Differential Equations by Mahgoub Transform Method
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 The stability theory is an important research area in the qualitative analysis of partial differential equations. The Hyers-Ulam stability for a partial differential equation has a very close exact solution to the approximate solution of the differential
Harun Biçer
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MathematicsIn this paper, we discuss the existence and uniqueness of a solution for the implicit two-order fractional integro-differential equation with m-point boundary conditions by applying the Banach fixed point theorem.
Ilhem Nasrallah +2 more
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Hyers-Ulam Stability of Differentiation Operator on Hilbert Spaces of Entire Functions
Journal of Function Spaces, 2014 We investigate the Hyers-Ulam stability of differentiation operator on Hilbert spaces of entire functions. We give a necessary and sufficient condition in order that the operator has the Hyers-Ulam stability and also show that the best constant of Hyers ...
Chun Wang, Tian-Zhou Xu
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Ulam-Hyers-Stability for nonlinear fractional neutral differential equations
Hacettepe Journal of Mathematics and Statistics, 2018 We discuss Ulam-Hyers stability, Ulam-Hyers-Rassias stability and Generalized Ulam-Hyers-Rassias stability for a class of nonlinear fractional functional differential equations with delay involving Caputo fractional derivative by using Picard operator. An example is also given to show the applicability of our results.
NİAZİ, Azmat Ullah Khan +3 more
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Mathematics, 2019 We discuss the existence and uniqueness of solutions for a Caputo-type fractional order boundary value problem equipped with non-conjugate Riemann-Stieltjes integro-multipoint boundary conditions on an arbitrary domain.
Bashir Ahmad +3 more
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Axioms, 2022 The authors have recently investigated a type of Hyers–Ulam stability of one-dimensional time-independent Schrödinger equation with a symmetric parabolic potential wall.
Byungbae Kim, Soon-Mo Jung
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