Results 81 to 90 of about 4,940 (143)

Nonlinear analysis for Hilfer fractional differential equations

Franklin Open
In this paper, we discuss nonlinear Hilfer fractional differential equations with separated boundary conditions. Using the well-known Leggett–Williams theorem, we first explore the existence of multiple positive solutions for the nonlinear Hilfer ...
Debananda Basua, Swaroop Nandan Bora
doaj   +1 more source

Study on Approximate C∗‐Bimultiplier and JC∗‐Bimultiplier in C∗‐Ternary Algebra

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
An additive‐quadratic mapping F:A×A⟶B is one that adheres to the following equations: Fr+s,t=Fr,t+Fs,t,Fr,s+t+Fr,s−t=22Fr,s+Fr,t. This paper leverages the fixed‐point method to investigate C∗‐bimultiplier and JC∗‐bimultiplier approximations on C∗‐ternary algebras. The focus is on the additive‐quadratic functional equation: Fr+s,t+u+Fr+s,t−u=2222Fr,t+Fr,
Mina Mohammadi, Javad Shokri, Saeid Ostadbashi, Abdul Rauf Khan   +3 more
wiley   +1 more source

Memory‐Dependent Chaotic Dynamics and Stabilization of a Nonlinear Fractional‐Order Financial System With Optimal Control

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study presents an innovative nonlinear fractional‐order financial model that employs Caputo and Caputo–Fabrizio fractional derivatives to represent the dynamic interactions among interest rates, investment demand, price indices, and income/output. The model is formulated as a system of coupled nonlinear differential equations to encapsulate memory‐
Md. Asraful Islam, Razia Sultana, Payer Ahmed, Huaiqin Wu   +3 more
wiley   +1 more source

Stability analysis of implicit fractional differential equations with anti-periodic integral boundary value problem

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019
In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability, and generalized Ulam-Hyers-Rassias stability of the solution to an ...
Akbar Zada, Hira Waheed
doaj  

Existence and stability of mixed type Hilfer fractional differential equations with impulses and time delay

Results in Applied Mathematics
In this paper, we consider a class of mixed type Hilfer fractional differential equations with noninstantaneous impulses, nonlocal conditions and time delay.
Baoyan Han, Bo Zhu
doaj   +1 more source

Mathematical Modeling of Societal Challenges: A Fractional Analysis Perspective

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
The prevalence of societal issues, such as violence that affects women, has skyrocketed worldwide. To create a society where women can reach their full potential, we need to address the violence and other obstacles that stand in their way, requiring a thoughtful and nuanced mathematical modeling approach.
Binandam Stephen Lassong, Munkaila Dasumani, Boubacar Diallo, Nnaemeka Stanley Aguegboh, Walter Okongo, George Asumadu, Keshlan S. Govinder   +6 more
wiley   +1 more source

Study on existence and stability analysis for implicit neutral fractional differential equations of ABC derivative

Partial Differential Equations in Applied Mathematics
In this paper, we study the existence, uniqueness, and stability analysis of non-linear implicit neutral fractional differential equations involving the Atangana–Baleanu derivative in the Caputo sense. The Banach contraction principle theorem is employed
V. Sowbakiya, R. Nirmalkumar, K. Loganathan, C. Selvamani   +3 more
doaj   +1 more source

Uniqueness and Ulam–Hyers–Rassias stability results for sequential fractional pantograph q-differential equations

Journal of Inequalities and Applications, 2022
We study sequential fractional pantograph q-differential equations. We establish the uniqueness of solutions via Banach’s contraction mapping principle.
Mohamed Houas, Francisco Martínez, Mohammad Esmael Samei, Mohammed K. A. Kaabar   +3 more
doaj   +1 more source

On a modified Hyers‐Ulam stability of homogeneous equation [PDF]

International Journal of Mathematics and Mathematical Sciences, 1998
In this paper, a generalized Hyers‐Ulam stability of the homogeneous equation shall be proved, i.e., if a mapping f satisfies the functional inequality ‖f(yx) − ykf(x)‖ ≤ φ(x, y) under suitable conditions, there exists a unique mapping T satisfying T(yx) = ytT(x) and ‖T(x) − f(x)‖ ≤ Φ(x).
openaire   +2 more sources

Solvability and Stability of Solutions of (q, τ)‐Fractional Integro‐Differential Models

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate a set of nonlinear (q, τ)‐fractional Fredholm integrodifferential equations that involve memory‐type integral kernels and generalized fractional derivatives. Using a Galerkin technique based on (q, τ)‐Legendre polynomials, we designed an approximation solution and provided a numerical scheme for calculating the integral ...
Shaher Momani, Rabha W. Ibrahim, Dumitru Baleanu, Serbay Duran   +3 more
wiley   +1 more source