Results 11 to 20 of about 98 (93)

On the Solution of n-Product of 2D-Hadamard–Volterra Integral Equations in Banach Algebra

Journal of Mathematics
In this study, the solvability of a general form of product type of n-classes of 2D-Hadamard–Volterra integral equations in the Banach algebra C1,a×1,b is studied and investigated under more general and weaker assumptions.
Mohamed M. A. Metwali, Manochehr Kazemi, Shami A. M. Alsallami   +2 more
doaj   +2 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, Volume 2023, Issue 1, 2023., 2023
In this article, we study the existence of the solution for the fractional differential equations of sequential type with nonlocal integral boundary conditions. The main results are established with the aid of Darbo’s fixed point theorem and Hausdorff’s measure of noncompactness method.
Muath Awadalla, Kinda Abuasbeh, Murugesan Manigandan, Ahmed A. Al Ghafli, Hassan J. Al Salman, Yusuf Gurefe   +5 more
wiley   +1 more source

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

Journal of Mathematics, Volume 2022, Issue 1, 2022., 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. The methods used here are based on Darbo’s fixed point theorem combined with the technique of measure of noncompactness.
Chen Yang, Guotao Wang
wiley   +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

On Solutions of Hybrid–Sturm‐Liouville–Langevin Equations with Generalized Versions of Caputo Fractional Derivatives

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The main intention of this research article is to introduce a new class of generalized fractional differential equations that fall into the categories of Sturm‐Liouville’s, Langevin’s, and hybrid’s problems involving Y‐Caputo fractional derivatives.
Abdellatif Boutiara, Hanan A. Wahash, Heba Y. Zahran, Emad E. Mahmoud, Abdel-Haleem Abdel-Aty, El Sayed Yousef, Yusuf Gurefe   +6 more
wiley   +1 more source

Solvability of Implicit Fractional Order Integral Equation in ℓp(1 ≤ p<∞) Space via Generalized Darbo’s Fixed Point Theorem

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 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 ℓp(1 ≤ p<∞) space. The fundamental tool in the presentation of our proofs is the measure of noncompactness (mnc) approach.
Inzamamul Haque, Javid Ali, M. Mursaleen, Reny George   +3 more
wiley   +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

Local asymptotic stability for nonlinear quadratic functional integral equations

Electronic Journal of Qualitative Theory of Differential Equations, 2008
In the present study, using the characterizations of measures of noncompactness we prove a theorem on the existence and local asymptotic stability of solutions for a quadratic functional integral equation via a fixed point theorem of Darbo.
Bapurao Dhage, S. S. Bellale
doaj   +1 more source

The controllability of nonlinear implicit fractional delay dynamical systems

International Journal of Applied Mathematics and Computer Science, 2017
This paper is concerned with the controllability of nonlinear fractional delay dynamical systems with implicit fractional derivatives for multiple delays and distributed delays in control variables.
Joice Nirmala Rajagopal, Balachandran Krishnan   +1 more
doaj   +1 more source

Existence of solutions of infinite systems of nonlinear Volterra integral equations on a Fréchet space

پژوهش‌های ریاضی, 2021
In this paper, we introduce a Fréchet space  and define a measure of noncompactness on it.  For credit and the application to our theorems, in the application section of this paper, we present a theorem which shows the existence of solution of infinite ...
Hogat Allah Amiri kayvanloo, Mahnaz Khanehgir, Reza Allahyari   +2 more
doaj