Results 11 to 20 of about 5,765,792 (120)

Solvability of Implicit Fractional Order Integral Equation in ℓp1≤p<∞ Space via Generalized Darbo’s Fixed Point Theorem

Journal of Function Spaces, 2022
We present a generalization of Darbo’s fixed point theorem in this article, and we use it to investigate the solvability of an infinite system of fractional order integral equations in ℓp1 ...
Inzamamul Haque, Javid Ali, M. Mursaleen
doaj   +3 more sources

Applicability of Darbo’s Fixed Point Theorem on the Existence of a Solution to Fractional Differential Equations of Sequential Type

Journal of Mathematics, 2023
In this article, we study the existence of the solution for the fractional differential equations of sequential type with nonlocal integral boundary conditions.
Muath Awadalla, Kinda Abuasbeh, Murugesan Manigandan, Ahmed A. Al Ghafli, Hassan J. Al Salman   +4 more
doaj   +3 more sources

A generalized Darbo’s fixed point theorem and its applications to different types of hybrid differential equations

Boundary Value Problems, 2023
In this article, a generalization of Darbo’s fixed point theorem using a new contraction operator is obtained to solve our proposed hybrid differential and fractional hybrid differential equations in a Banach space.
Anupam Das, Sudip Deb, Rupanjali Goswami, Tazuddin Ahmed, Zeynab Izadi, Vahid Parvaneh   +5 more
doaj   +2 more sources

Existence and Uniqueness of Solutions for a Third-Order Three-Point Boundary Value Problem via Measure of Noncompactness

Journal of Mathematics, 2022
In this paper, we consider a nonlinear third-order three-point boundary value problem and give the existence and uniqueness of solutions by constructing Green’s function and using its properties.
Chen Yang
doaj   +2 more sources

Extension of Darbo’s fixed point theorem via shifting distance functions and its application [PDF]

Nonlinear Analysis, 2022
In this paper, we discuss solvability of infinite system of fractional integral equations (FIE) of mixed type. To achieve this goal, we first use shifting distance function to establish a new generalization of Darbo’s fixed point theorem, and then apply ...
Hemant Kumar Nashine, Anupam Das
doaj   +2 more sources

Darbo’s Fixed-Point Theorem: Establishing Existence and Uniqueness Results for Hybrid Caputo–Hadamard Fractional Sequential Differential Equations

Fractal and Fractional
This work explores the existence and uniqueness criteria for the solution of hybrid Caputo–Hadamard fractional sequential differential equations (HCHFSDEs) by employing Darbo’s fixed-point theorem. Fractional differential equations play a pivotal role in
Muhammad Yaseen, Sadia Mumtaz, Reny George, Azhar Hussain, Hossam A. Nabwey   +4 more
doaj   +2 more sources

Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation

Demonstratio Mathematica, 2019
In this paper, we provide some generalizations of the Darbo’s fixed point theorem associated with the measure of noncompactness and present some results on the existence of the coupled fixed point theorems for a special class of operators in a Banach ...
Rehman Habib ur, Gopal Dhananjay, Kumam Poom   +2 more
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

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