Results 41 to 50 of about 88 (85)

Geraghty–𝔽‐Contraction Type Darbo Fixed‐Point Theorems With an Application

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, Darbo’s fixed‐point theorem is extended by employing Geraghty–𝔽‐contractions on Banach spaces. The obtained results are then applied to establish the existence of solutions for a fractional integral equation in the space C([0, ς]), equipped with the Hausdorff measure of noncompactness. To support and validate the main theorems presented,
Samira Hadi Bonab, Hasan Hosseinzadeh, Reza Alayi, Zoran Mitrovic, Shahla Hosseini, Mohammad W. Alomari   +5 more
wiley   +1 more source

On Properties of ®-Sumudu Transform and Applications

, 2021
The ®-Sumudu transform is defined and its properties areproved. ®-Sumudu transform of convolution product and composition offunctions is obtained.
N.G. Patil; Department of Applied Sciences, MBES College of Engineering, Ambajogai Dt.Beed (M.S)- 413 517,, J.A. Nanware; Department of Mathematics, Shrikrishna Mahavidyalaya, Gunjoti Dt. Osmanabad (M.S) - 413 606   +1 more
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Convex Solutions of an Iterative Functional Differential Equation

Annales Mathematicae Silesianae
In this paper, by Schauder's fixed point theorem and the Banach contraction principle, we consider the existence, uniqueness, and stability of convex solutions of a nonhomogeneous iterative functional differential equation.
Li Lin Huang, Hou Yu Zhao
doaj   +1 more source

Condensing Operators in Busemann Convex Metric Spaces With Applications to Hammerstein Integral Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this article, we introduce a new class of cyclic and noncyclic condensing operators that extend the notion of condensing mappings previously proposed by Gabeleh and Markin (M. Gabeleh and J. Markin, Optimum solutions for a system of differential equations via measure of noncompactness, Indagationes Mathematicae, 29(3) [2018], 895–906).
A. Pradhan, M. Gabeleh, D. K. Patel, S. P. Moshokoa, Shikha Binwal   +4 more
wiley   +1 more source

Existence, uniqueness and continuous dependence results of coupled system of Hilfer fractional stochastic pantograph equations with nonlocal integral conditions [PDF]

This study explores the existence, uniqueness, and continuous dependence of solutions for coupled system of Hilfer fractional stochastic pantograph equations with nonlocal integral conditions.
LOUAKAR, Ayoub, HILAL, Khalid, VIVEK, Devaraj, KAJOUNI, Ahmed   +3 more
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Homotopy method for solving fuzzy nonlinear equations

, 2020
. In this paper, we introduce the numerical solution for a fuzzy nonlinear systems by homotopy method. The fuzzy quantities are presented in parametric form. Some numerical illustrations are given to show the efficiency of algorithms. M.S.C. 2000: 34A12,
S Abbasbandy, R Ezzati
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Existence and stability of solutions for linear and nonlinear Stieltjes differential equations

, 2021
This paper deals with Cauchy problems and nonlocal problems for non-linear Stieltjes differential equations corresponding to a certain function g. We establish existence and uniqueness results for nonlinear equations with initial value or nonlocal ...
Wang, JinRong, O'Regan, D., Chen, Yu
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On second-order linear Stieltjes differential equations with non-constant coefficients

Open Mathematics
In this work, we define the notions of Wronskian and simplified Wronskian for Stieltjes derivatives and study some of their properties in a similar manner to the context of time scales or the usual derivative.
Fernández Francisco J., Albés Ignacio Marquéz, Tojo Fernández   +2 more
doaj   +1 more source

FLOW WITH $A_{\infty }(\mathbb{R})$ DENSITY AND TRANSPORT EQUATION IN $\text{BMO}(\mathbb{R})$

Forum of Mathematics, Sigma, 2019
We show that, if $b\in L^{1}(0,T;L_{\operatorname{loc}}^{1}(\mathbb{R}))$ has a spatial derivative in the John–Nirenberg space $\operatorname{BMO}(\mathbb{R})$, then it generates a unique flow $\unicode[STIX]{x1D719}(t,\cdot )$ which has an $A_{\infty }(\
RENJIN JIANG, KANGWEI LI, JIE XIAO
doaj   +1 more source

Properties of the set of positive solutions to Dirichlet boundary value problems with time singularities

, 2020
The paper investigates the structure and properties of the set S of all positive solutions to the singular Dirichlet boundary value problem Mathematics Subject Classification 2010: 34B18, 34B16, 34A12 Key words: Singular ordinary differential equation ...
Svatoslav Staněk, Irena Rachůnková
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