Results 21 to 30 of about 5,964,053 (112)

Generalization of Darbo-type theorem and application on existence of implicit fractional integral equations in tempered sequence spaces

Alexandria Engineering Journal, 2022
The aim of this work is to give some fixed point results based on the technique of measure of noncompactness which extend the classical Darbo’s theorem.
Anupam Das, S.A. Mohiuddine, Abdullah Alotaibi, Bhuban Chandra Deuri   +3 more
doaj   +2 more sources

Controllability of nonlinear implicit fractional integrodifferential systems [PDF]

International Journal of Applied Mathematics and Computer Science, 2014
In this paper, we study the controllability of nonlinear fractional integrodifferential systems with implicit fractional derivative. Sufficient conditions for controllability results are obtained through the notion of the measure of noncompactness of a ...
Balachandran Krishnan, Divya Shanmugam
doaj   +2 more sources

Existence of Solutions for a System of Integral Equations Using a Generalization of Darbo’s Fixed Point Theorem [PDF]

Mathematics, 2020
In this paper, an extension of Darbo’s fixed point theorem via θ -F-contractions in a Banach space has been presented. Measure of noncompactness approach is the main tool in the presentation of our proofs.
Babak Mohammadi, Ali Asghar Shole Haghighi, Maryam Khorshidi, Manuel De la Sen, Vahid Parvaneh   +4 more
doaj   +2 more sources

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   +2 more sources

Existence and asymptotic stability of continuous solutions for integral equations of product type

Journal of Innovative Applied Mathematics and Computational Sciences, 2021
In this paper, we study the existence of a continuous solution for a nonlinear integral equation of a product type. The analysis uses the techniques of measures of noncompactness and Darbo's fixed point theorem.
Mahmoud Bousselsal, Azzeddine Bellour
doaj   +1 more source

On System of Mixed Fractional Hybrid Differential Equations

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this article, we find the necessary conditions for the existence and uniqueness of solutions to a system of hybrid equations that contain mixed fractional derivatives (Caputo and Riemann‐Liouville). We also verify the stability of these solutions using the Ulam‐Hyers (U‐H) technique.
Muath Awadalla, Nazim I. Mahmudov, Hüseyin Işık   +2 more
wiley   +1 more source

Some generalizations of Darbo’s theorem and applications to fractional integral equations [PDF]

, 2016
In this paper, some generalizations of Darbo’s fixed point theorem are presented. An existence result for a class of fractional integral equations is given as an application of the obtained results.
Bessem Samet, Mohamed Jleli, O’Regan,D., Erdal Karapinar, Donal O’Regan, Samet,B., Karapinar,E., Jleli,M.   +7 more
core   +1 more source

Darbo Fixed Point Criterion on Solutions of a Hadamard Nonlinear Variable Order Problem and Ulam‐Hyers‐Rassias Stability

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The existence aspects along with the stability of solutions to a Hadamard variable order fractional boundary value problem are investigated in this research study. Our results are obtained via generalized intervals and piecewise constant functions and the relevant Green function, by converting the existing Hadamard variable order fractional boundary ...
Shahram Rezapour, Zoubida Bouazza, Mohammed Said Souid, Sina Etemad, Mohammed K. A. Kaabar, Tianqing An   +5 more
wiley   +1 more source

Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo‐Type Theorem

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
Two concepts—one of Darbo‐type theorem and the other of Banach sequence spaces—play a very important and active role in ongoing research on existence problems. We first demonstrate the generalized Darbo‐type fixed point theorems involving the concept of continuous functions.
S. A. Mohiuddine, Anupam Das, Abdullah Alotaibi, Santosh Kumar   +3 more
wiley   +1 more source

On the existence of solutions of some non-linear functional integral equations in Banach algebra with applications

Arab Journal of Basic and Applied Sciences, 2020
In this article, we establish some results for the existence of solution of nonlinear functional integral equations by using Darbo’s fixed point theorem in Banach algebra.
Amar Deep, Deepmala, Cemil Tunç
doaj   +1 more source