Results 61 to 70 of about 117 (86)

New Caputo fractional differential equation of higher order on unbounded interval and solvability in the Hölder space C 0 , q ( Ω ) $C^{0,q}(\Omega )$

Journal of Inequalities and Applications
We define a new Caputo fractional differential equation of higher-order on unbounded interval { D α c w ( t ) = f ( t ) , 0 ≤ t < ∞ , w ( 0 ) = w ′ ( 0 ) = w ( 4 ) ( 0 ) = w ( 5 ) ( 0 ) = ⋯ = w ( n ) ( 0 ) = 0 , w ‴ ( 0 ) = ∫ 0 η ( η − s ) α − 1 Γ ( α ...
Hojjatollah Amiri Kayvanloo, Farzaneh Pouladi Najafabadi, Ekrem Savaş, Mohammad Mursaleen   +3 more
doaj   +1 more source

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

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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Variations on the Brouwer Fixed Point Theorem: A Survey

Mathematics, 2020
Jean Mawhin, Mawhin Jean
exaly  

New Applications of Perov’s Fixed Point Theorem

Mathematics, 2022
Loredana Florentina Iambor, Omar Bazighifan, Muresan Sorin   +2 more
exaly  

A generalization of Tychonoff's fixed point theorem

Mathematische Annalen, 1961
Ky Fan, Fan Ky
exaly  

The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold

Inventiones Mathematicae, 1983
Zehnder E, E Zehnder
exaly