Results 71 to 80 of about 289 (110)

Existence, Uniqueness, and Mittag–Leffler–Ulam Stability Results for Cauchy Problem Involving ψ-Caputo Derivative in Banach and Fréchet Spaces

open access: yesInternational Journal of Differential Equations, 2020
Our aim in this paper is to investigate the existence, uniqueness, and Mittag–Leffler–Ulam stability results for a Cauchy problem involving ψ-Caputo fractional derivative with positive constant coefficient in Banach and Fréchet Spaces.
Choukri Derbazi   +3 more
doaj   +1 more source

Existence of Tripled Fixed Points for a Class of Condensing Operators in Banach Spaces [PDF]

open access: yes, 2014
We give some results concerning the existence of tripled fixed points for a class of condensing operators in Banach spaces. Further, as an application, we study the existence of solutions for a general system of nonlinear integral ...
Kadri Doğan   +3 more
core   +3 more sources

Existence and Characterization of Solutions of Nonlinear Volterra-Stieltjes Integral Equations in Two Variables

open access: yesAbstract and Applied Analysis, 2014
The paper is devoted mainly to the study of the existence of solutions depending on two variables of a nonlinear integral equation of Volterra-Stieltjes type.
Mohamed Abdalla Darwish, Józef Banaś
doaj   +1 more source

Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer

open access: yesElectronic Journal of Differential Equations, 2006
We give an existence theorem for some functional-integral equations which includes many key integral and functional equations that arise in nonlinear analysis and its applications.
Josefa Caballero   +2 more
doaj  

PC-Asymptotically almost automorphic mild solutions for impulsive integro-differential equations with nonlocal conditions [PDF]

open access: yes
In this article, we study the existence of PC-asymptotically almost automorphic mild solutions of integro-differential equations with nonlocal conditions via resolvent operators in Banach space. Further, we give sufficient conditions for the solutions to
BENCHOHRA, Mouffak   +4 more
core   +2 more sources

On the extended version of Krasnosel'skii's fixed point theorem for Kannan type equicontraction mappings

open access: yes, 2022
A sufficient condition is established for the existence of a solution to the equation $\mathcal{T}(u,\mathcal{C}(u))=u$, by considering a class of Kannan type equicontraction mappings $\mathcal{T}:\mathcal{A}\times \overline{\mathcal{C}(\mathcal{A})}\to \
Bera, Ashis   +2 more
core  

Metric structure for Riemann-Stieltjes derivable functions on fractals and application [PDF]

open access: yes
This article presents a metric structure of the space of all Riemann-Stieltjes derivable functions defined over a fractal subset of the real line. Within this framework, we formulate, and analyze a measure of non-compactness tailored to fractal domains ...
Abhishikta Das   +2 more
core   +1 more source

Boundary value problem for nonlinear fractional differential equations of variable order via kuratowski MNC technique [PDF]

open access: yes
In the present research study, for a given multiterm boundary value problem (BVP) involving the Riemann-Liouville fractional differential equation of variable order, the existence properties are analyzed.
Baleanu, Dumitru   +4 more
core   +1 more source

ON EXISTENCE OF OPTIMAL SOLUTIONS TO Ψ-RIEMANN LIOUVILLE FDE VIA BEST PROXIMITY RESULTS FOR GENERAL CONDENSING OPERATORS [PDF]

open access: yes
The paper utilizes the concept of measure of noncompactness to achieve the existence result; the existence of an optimal solution to a fractional system constituted by ψ-Riemann Liouville derivative and a nonlinear function of integral type.
Gabeleh, Moosa   +2 more
core   +1 more source

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