Results 21 to 30 of about 5,086 (192)

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

Stability of a functional equation deriving from cubic and quartic functions [PDF]

, 2008
In this paper, we obtain the general solution and the generalized Ulam-Hyers stability of the cubic and quartic functional equation &4(f(3x+y)+f(3x-y))=-12(f(x+y)+f(x-y)) &+12(f(2x+y)+f(2x-y))-8f(y)-192f(x)+f(2y)+30f(2x)
Ebadian, A., Gordji, M. Eshaghi, Zolfaghari, S.   +2 more
core   +3 more sources

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

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

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
core   +2 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

Hyers-Ulam stability of exact second-order linear differential equations [PDF]

, 2012
In this article, we prove the Hyers-Ulam stability of exact second-order linear differential equations. As a consequence, we show the Hyers-Ulam stability of the following equations: second-order linear differential equation with constant coefficients ...
Badrkhan Alizadeh, Choonkil Park, Madjid Eshaghi Gordji, Mohammed Bagher Ghaemi   +3 more
core   +1 more source

Ulam-Hyers-Rassias Stability of a Hyperbolic Partial Differential Equation [PDF]

ISRN Mathematical Analysis, 2012
We consider a nonlinear hyperbolic partial differential equation in a general form. Using a Gronwall-type lemma we prove results on the Ulam-Hyers stability and the generalised Ulam-Hyers-Rassias stability of this equation.
Lungu, Nicolaie, Crăciun, Cecilia
openaire   +2 more sources

A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation

Nonlinear Engineering, 2021
An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation.
Kaabar Mohammed K. A., Kalvandi Vida, Eghbali Nasrin, Samei Mohammad Esmael, Siri Zailan, Martínez Francisco   +5 more
doaj   +1 more source

Hyers-Ulam-Rassias stability of generalized module left (m,n)-derivations [PDF]

, 2013
The generalized Hyers-Ulam-Rassias stability of generalized module left ▫$(m,n)$▫-derivations on a normed algebra ▫$mathcal{A}$▫ into a Banach left ▫$mathcal{A}$▫-module is established.V članku je obravnavana Hyers-Ulam-Rassias stabilnost posplošenih ...
Fošner, Ajda
core   +1 more source