Results 31 to 40 of about 3,088,117 (225)

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

Existence and Ulam–Hyers stability for Caputo conformable differential equations with four-point integral conditions

Advances in Difference Equations, 2019
In this article, we investigate the existence and uniqueness of solutions for conformable derivatives in the Caputo setting with four-point integral conditions, applying standard fixed point theorems such as Banach contraction mapping principle ...
Aphirak Aphithana, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
doaj   +1 more source

Generalized linear differential equation using Hyers-Ulam stability approach

AIMS Mathematics, 2021
In this paper, we study the Hyers-Ulam stability with respect to the linear differential condition of fourth order. Specifically, we treat ${\psi}$ as an interact arrangement of the differential condition, i.e., \begin{align*} {\psi}^{iv} ({\varkappa}) +
B. Unyong, Vediyappan Govindan, S. Bowmiya, G. Rajchakit, N. Gunasekaran, R. Vadivel, C. P. Lim, P. Agarwal   +7 more
semanticscholar   +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

Periodic solutions and Hyers-Ulam stability of atmospheric Ekman flows

Discrete and Continuous Dynamical Systems. Series A, 2021
In this paper, we study the classical problem of the wind in the steady atmospheric Ekman layer with constant eddy viscosity. Different from the well-known homogeneous system in [ 14 , 20 ], we retain the turbulent fluxes and establish a new ...
Y. Guan, Michal Feckan, Jinrong Wang
semanticscholar   +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

Analysis of a coupled system of fractional differential equations with non-separated boundary conditions

Advances in Difference Equations, 2020
Solutions to fractional differential equations is an emerging part of current research, since such equations appear in different applied fields. A study of existence, uniqueness, and stability of solutions to a coupled system of fractional differential ...
Danfeng Luo, Akbar Zada, Shaleena Shaleena, Manzoor Ahmad   +3 more
doaj   +1 more source

Hyers-Ulam Stability of Non-Linear Volterra Integro-Delay Dynamic System with Fractional Integrable Impulses on Time Scales

Iranian Journal of Mathematical Sciences and Informatics, 2022
. This manuscript presents Hyers–Ulam stability and Hyers– Ulam–Rassias stability results of non–linear Volterra integro–delay dynamic system on time scales with fractional integrable impulses.
S. O. Shah, A. Zada
semanticscholar   +1 more source

Ulam type stability problems for alternative homomorphisms [PDF]

, 2014
We introduce an alternative homomorphism with respect to binary operations and investigate the Ulam type stability problem for such a mapping. The obtained results apply to Ulam type stability problems for several important functional equations ...
A Bahyrycz, A Gilányi, A Gilányi, A Simon, GH Kim, GH Kim, H-M Kim, Hiroyuki Takagi, J Brzdȩk, J Brzdȩk, J Brzdȩk, J Brzdȩk, K Ciepliński, Kotaro Tanahashi, M Piszczek, Makoto Tsukada, N Brillouët-Belluot, S-E Takahasi, S-M Jung, Sin-Ei Takahasi, Takeshi Miura, W Jarczyk, Z Gajda, Z Páles, Z Páles   +24 more
core   +2 more sources

Existence and stability results for ψ-Hilfer fractional integro-differential equation with mixed nonlocal boundary conditions

AIMS Mathematics, 2021
In this paper, we discuss the existence, uniqueness and stability of boundary value problems for $\psi$-Hilfer fractional integro-differential equations with mixed nonlocal (multi-point, fractional derivative multi-order and fractional integral ...
Weerawat Sudsutad, Chatthai Thaiprayoon, Sotiris K. Ntouyas   +2 more
doaj   +1 more source