Results 61 to 70 of about 18,096 (200)

Analytic General Conformable Semigroup

International Journal of Analysis and Applications
Conformable fractional derivative is introduced by [1] to simplify the definition of fractional derivatives since most of them used an integral form which is difficult to solve real problem. However, [1] defined the conformable fractional derivative by considering a particular conformable fractional function t1−α.
Nur Natasha Lim Boon Chye @ Mohd Hairie Lim, Bambang Hendriya Guswanto, Ahmad Fadillah Embong, Mohd Ariff Admon   +3 more
openaire   +1 more source

Fixed Point Analysis for Cauchy‐Type Variable‐Order Fractional Differential Equations With Finite Delay

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper presents a comprehensive analysis of the existence, uniqueness, and Ulam–Hyers stability of solutions for a class of Cauchy‐type nonlinear fractional differential equations with variable order and finite delay. The motivation for this study lies in the increasing importance of variable‐order fractional calculus in modeling real‐world systems
Souhila Sabit, Mohammed Said Souid, Marwa Benaouda, K. Sudarmozhi, Joshua Kiddy K. Asamoah, Amar Nath Chatterjee   +5 more
wiley   +1 more source

Representation of Multilinear Mappings and s‐Functional Inequality

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In the current research, we introduce the multilinear mappings and represent the multilinear mappings as a unified equation. Moreover, by applying the known direct (Hyers) manner, we establish the stability (in the sense of Hyers, Rassias, and Găvruţa) of the multilinear mappings, associated with the single multiadditive functional inequality.
Abasalt Bodaghi, Pramita Mishra
wiley   +1 more source

On the Analyticity for the Generalized Quadratic Derivative Complex Ginzburg-Landau Equation

Abstract and Applied Analysis, 2014
We study the analytic property of the (generalized) quadratic derivative Ginzburg-Landau equation (1/2⩽α⩽1) in any spatial dimension n⩾1 with rough initial data.
Chunyan Huang
doaj   +1 more source

Notes on analytic convoluted C-semigroups

Publications de l'Institut Mathematique, 2010
We establish some new structural properties of exponentially bounded, analytic convoluted C-semigroups and state a version of Kato?s analyticity criterion for such a class of operator semigroups. Our characterizations completely cover the case of analytic fractionally integrated C-semigroups.
openaire   +3 more sources

Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Sagir, Abdu Qaid Alameri, Pramita Mishra   +5 more
wiley   +1 more source

Fréchet Differentiability of Parameter-Dependent Analytic Semigroups

Journal of Mathematical Analysis and Applications, 1999
The authors study dependence on a vector-valued parameter \(q\) of a collection of analytic semigroups \(\{T(t;q), t\geq 0\}\). The analyticity of the map \(q\mapsto T(t;q)\) in the uniform operator topology is established and, moreover, the Fréchet derivative of \(T(t;q)\) with respect to \(q\) is given by a norm-convergent contour integral.
Seubert, S, Wade, J.G
openaire   +1 more source

Delving Into the Depths of the Properties and Behavior of Bipolar Pythagorean Neutrosophic Metric Spaces: A Theoretical Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper advances the theory of bipolar Pythagorean neutrosophic fuzzy (BPNF) sets by establishing their formalization within a topological and metric framework, while also demonstrating their role in decision‐making under uncertainty. The main contributions are as follows: (1) definition and characterization of BPNF topological spaces, providing a ...
Akiladevi Natarajan, Santhi Rathinasamy, Prasantha Bharathi Dhandapani, Md. Fayz-Al-Asad, Samy R. Mahmoud, Tareq Al-Shami   +5 more
wiley   +1 more source

Analysis on nonlinear differential equation with a deviating argument via Faedo–Galerkin method

Results in Applied Mathematics
This article focuses on the impulsive fractional differential equation (FDE) of Sobolev type with a nonlocal condition. Existence and uniqueness of the approximations are determined via analytic semigroup and fixed point method.
M. Manjula, E. Thilakraj, P. Sawangtong, K. Kaliraj   +3 more
doaj   +1 more source

Existence results for a class of semi-linear evolution equations

Electronic Journal of Differential Equations, 2001
We prove the existence of regular solutions for the quasi-linear evolution $$ {d over dt}(x(t)+g(t,x(t))=Ax(t)+f(t,x(t)), $$ where $A$ is the infinitesimal generator of an analytic semigroup of bounded linear operators defined on a Banach space and the ...
Eduardo Hernandez M.
doaj