Zobrazeno 1 - 10
of 602
pro vyhledávání: '"q-Difference equations"'
Autor:
Nadia Allouch, Iqbal M. Batiha, Iqbal H. Jebril, Samira Hamani, Areen Al-Khateeb, Shaher Momani
Publikováno v:
Image Analysis and Stereology, Vol 43, Iss 3 (2024)
The main goal of this work is to propose a new fractional approach of the higher-order q-Taylor method with Initial Value Problems (IVPs) for fractional q-difference equations which is called the Fractional Higher-Order q-Taylor Method (FHOqTM). By a
Externí odkaz:
https://doaj.org/article/2aa272a95d3a437d97def98556d04e4a
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-28 (2024)
Abstract In this paper, by applying fractional quantum calculus, we study a nonlinear Duffing-type equation with three sequential fractional q-derivatives. We prove the existence and uniqueness results by using standard fixed-point theorems (Banach a
Externí odkaz:
https://doaj.org/article/1479ea3194c94d339f4da65c8de96850
Publikováno v:
Boundary Value Problems, Vol 2023, Iss 1, Pp 1-13 (2023)
Abstract An objective of this paper is to investigate the boundary value problem of a high-order nonlinear fractional q-difference equation. It was to obtain a unique iterative solution for this problem by means of applying a novel fixed-point theore
Externí odkaz:
https://doaj.org/article/161be59c31b44ac39a986c3af34212bc
Autor:
Alexandru Tudorache, Rodica Luca
Publikováno v:
Mathematics, Vol 12, Iss 9, p 1335 (2024)
We are investigating the existence of solutions to a system of two fractional q-difference equations containing fractional q-integral terms, subject to multi-point boundary conditions that encompass q-derivatives and fractional q-derivatives of diffe
Externí odkaz:
https://doaj.org/article/b81781b80e2e41c6bb2fa5b05c15e6d1
Autor:
Rodica Luca
Publikováno v:
Fractal and Fractional, Vol 8, Iss 1, p 70 (2024)
We explore the existence, uniqueness, and multiplicity of positive solutions to a system of fractional q-difference equations that include fractional q-integrals. This investigation is carried out under coupled multi-point boundary conditions featuri
Externí odkaz:
https://doaj.org/article/47344fb8951a402ab65e3eb9c6d8bd0e
Akademický článek
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Akademický článek
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Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 7, Iss , Pp 100514- (2023)
This manuscript studies the existence and Ulam–Hyers stability results of solutions of q−fractional jerk type problem. The uniqueness of solutions is established by means of Banach’s contraction mapping principle, while the existence of solutio
Externí odkaz:
https://doaj.org/article/8b5e7c3a0f1e4e57808eb02a609d1b32
Autor:
Maryam AL-Towailb
Publikováno v:
AIMS Mathematics, Vol 7, Iss 5, Pp 9339-9352 (2022)
In this paper, we study the existence of solutions for the general $ q $-Lidstone problem: $ \begin{equation*} (D_{q^{-1}}^{r_n}f)(1) = a_n, \quad (D_{q^{-1}}^{s_n}f)(0) = b_n, \quad (n\in \mathbb{N}) \end{equation*} $ where $ (r_n)_n $ and $ (
Externí odkaz:
https://doaj.org/article/861073f67f014fddb616759475bd6c2b
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-15 (2021)
Abstract The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and nonexistence of positive soluti
Externí odkaz:
https://doaj.org/article/e523161cc28c4dda9ce6ba633d797889