Results 61 to 70 of about 490 (162)
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This paper investigates positive solutions for an implicit Caputo fractional boundary value problem of order 0 < ν < 1 on [0, T] with a nonlocal integral boundary condition. By reformulating the problem as an equivalent nonlinear Volterra integral equation, an associated operator on C([0, T], ℝ) is defined, and fixed‐point theory in a cone is employed.
Ngo Ngoc Hung, Youssri Hassan Youssri
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Some Paranormed Sequence Spaces Which Involve Arithmetic Divisor Sum Function
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Let Dr, r ≥ 0, be a triangle and q = (qj) be a bounded sequence of strictly positive numbers. In this paper, we study the algebraic and topological properties of the paranormed sequence space ℓDr,q, generated by the triangle Dr over Maddox′s space ℓ(q). We identify the Schauder basis as well as the α‐, β‐, and γ‐duals of the space ℓDr,q. One section is
Ting Gan +5 more
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Measures of noncompactness and their applications
, 2021 The measures of noncompactness are very useful tools in the theory of operatorequations in Banach spaces. In particular, the fixed point theorems derived fromthem have many important results. In this study, we state a general information onmeasures of noncompactness and fixed point theory. In addition, applications fromvarious topics are presented.
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Semigroups of operators and measures of noncompactness
Journal of Functional Analysis, 1971 AbstractIt is observed that the perturbation class of an open semigroup in a Banach algebra is a closed two-sided ideal. Certain seminorms on the algebra of bounded operators are introduced; these seminorms induce norms on the quotient algebra modulo the ideal of compact operators.
Lebow, Arnold, Schechter, Martin
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Results in Nonlinear Analysis, 2020 We consider the controllability problem for a class of fractional impulsive evolution systems of mixed type in an infinite dimensional Banach space. The existence of mild solutions and controllability results are discussed by a new estimation technique
Duraisamy Senthil Raja, Ponnusamy Sundararajan, Kulandhaivel Karthikeyan
doaj
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this present paper, we introduce a new measure of noncompactness on the space consisting of all real functions which are $n$ times bounded and continuously differentiable on $\mathbb{R}_+$.
Reza Allahyari +2 more
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Convergence Theorems and Measures of Noncompactness for Noncompact Urysohn Operators in Ideal Spaces
Journal of Integral Equations and Applications, 2004 The author considers the following nonlinear integral equation of Urysohn type \[ A(f)x(t):= \int_S f(t, s,x(s))\,ds,\quad t\in T, \] where the integral is in the Bochner sense. He establishes an estimate for the measure of noncompactness of the Urysohn operator and proves a convergence theorem for a sequence of simpler Urysohn operators which are ...
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International Journal of Differential Equations, 2018 By combining the techniques of fractional calculus with measure of weak noncompactness and fixed point theorem, we establish the existence of weak solutions of multipoint boundary value problem for fractional integrodifferential equations.
Haide Gou, Baolin Li
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Spatial dynamics of a viral infection model with immune response and nonlinear incidence. [PDF]
Z Angew Math Phys, 2023 Zheng T, Luo Y, Teng Z.
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Fractional dynamic system simulating the growth of microbe. [PDF]
Adv Differ Equ, 2021 Hadid SB, Ibrahim RW.
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