Results 21 to 30 of about 4,940 (143)

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

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

Asymptotic stability of the Cauchy and Jensen functional equations [PDF]

, 2016
The aim of this note is to investigate the asymptotic stability behaviour of the Cauchy and Jensen functional equations. Our main results show that if these equations hold for large arguments with small error, then they are also valid everywhere with a ...
A. Bahyrycz, A. Bahyrycz, D.G. Bourgin, D.H. Hyers, G.-L. Forti, G.-L. Forti, J. Brzdȩk, K. Nikodem, L. Losonczi, L. Maligranda, L. Székelyhidi, M. Piszczek, R. Badora, R. Badora, R. Badora, S.-M. Jung, T. Aoki, Th.M. Rassias, Zs. Páles, Á. Száz   +19 more
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Hyers–Ulam stability with respect to gauges

Journal of Mathematical Analysis and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brzdęk, Janusz, Popa, Dorian, Raşa, Ioan   +2 more
openaire   +1 more source

Hyers‐Ulam Stability of Power Series Equations [PDF]

Abstract and Applied Analysis, 2011
We prove the Hyers‐Ulam stability of power series equation , whereanforn= 0, 1, 2, 3, … can be real or complex.
Bidkham, M., Soleiman Mezerji, H. A., Gordji, M. Eshaghi   +2 more
openaire   +4 more sources

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

Hyers-Ulam stability of Flett's points

Applied Mathematics Letters, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Das, Thomas Riedel, Prasanna K. Sahoo
openaire   +1 more source

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

Practical Ulam-Hyers-Rassias stability for nonlinear equations [PDF]

Mathematica Bohemica, 2017
In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets.
Jin Rong Wang, Michal Fečkan
doaj   +1 more source

On the Hyers-Ulam Stability of Linear Mappings

Journal of Mathematical Analysis and Applications, 1993
Let \(H\) be a monotonically increasing symmetric homogeneous function of degree \(p\), where \(p\in (0,\infty)\backslash\{1\}\). Let \(f\) be a mapping from a real normed space \(X\) into a real Banach space \(Y\). Assume that \[ \| f(x+ y)- f(x)- f(y)\|\leq H(\| x\| \| y\|)\quad \forall x,\;y\in X. \] The authors proved that \[ T(x)=\lim_{n\to\infty}
Rassias, T.M., Semrl, P.
openaire   +1 more source