Results 61 to 70 of about 112 (86)

Some generalizations of Darbo's fixed point theorem under weak topology features with application to a Volterra-type integral equation

Applied General Topology
In this paper, we provide some generalizations of Darbo's fixed point theorem for larger classes of contraction. Our results are investigated under the weak topology of a Banach space using the measure of weak noncompactness. The results presented in the
Mohamed Khazou, Abdelmjid Khchine
doaj   +1 more source

Controllability of Fractional Integro-Differential Equations with Delays and Singular Kernels in Fréchet Spaces

Mathematics
This paper is devoted to the investigation of existence and approximate controllability results for a class of fractional integro-differential equations formulated in Fréchet spaces.
Fatima Mesri, Abdelkrim Salim, Mouffak Benchohra   +2 more
doaj   +1 more source

Analysis of Implicit Neutral-Tempered Caputo Fractional Volterra–Fredholm Integro-Differential Equations Involving Retarded and Advanced Arguments

Mathematics
This paper investigates a class of implicit neutral fractional integro-differential equations of Volterra–Fredholm type. The equations incorporate a tempered fractional derivative in the Caputo sense, along with both retarded (delay) and advanced ...
Abdulrahman A. Sharif, Muath Awadalla
doaj   +1 more source

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

Journal of Mathematics
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 C0,ς, equipped ...
Samira Hadi Bonab, Hasan Hosseinzadeh, Reza Alayi, Zoran Mitrovic, Shahla Hosseini   +4 more
doaj   +1 more source

Existence Results for Some Nonlinear Functional-Integral Equations in Banach Algebra with Applications

International Journal of Analysis and Applications, 2016
In the present manuscript, we prove some results concerning the existence of solutions for some nonlinear functional-integral equations which contains various integral and functional equations that considered in nonlinear analysis and its applications ...
Lakshmi Narayan Mishra, H. M. Srivastava, Mausumi Sen   +2 more
doaj  

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