Results 11 to 20 of about 117 (86)

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 a solution to an infinite system of weighted fractional integral equations of a function with respect to another function via a measure of noncompactness

Demonstratio Mathematica, 2023
In this article, some new generalizations of Darbo’s fixed-point theorem are given and the solvability of an infinite system of weighted fractional integral equations of a function with respect to another function is studied.
Das Anupam, Paunović Marija, Parvaneh Vahid, Mursaleen Mohammad, Bagheri Zohreh   +4 more
doaj   +1 more source

Solvability of functional stochastic integral equations via Darbo’s fixed point theorem

Alexandria Engineering Journal, 2021
Using the techniques of Darbo’s fixed-point theorem associated with measures of noncompactness, we investigate the existence results for functional stochastic integral equations in Banach Algebra, which are useful in many real-life problems, such as ...
Amar Deep, Syed Abbas, Bhupander Singh, M.R. Alharthi, Kottakkaran Sooppy Nisar   +4 more
doaj   +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

New fixed point theorems via measure of noncompactness and its application on fractional integral equation involving an operator with iterative relations

Journal of Inequalities and Applications, 2023
In this paper, Darbo’s fixed point theorem is generalized and it is applied to find the existence of solution of a fractional integral equation involving an operator with iterative relations in a Banach space.
Sudip Deb, Hossein Jafari, Anupam Das, Vahid Parvaneh   +3 more
doaj   +1 more source

Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces

Cubo, 2023
In this paper, we investigate existence of mild solutions to a non-instantaneous integrodifferential equation via resolvent operators in the sense of Grimmer in Fréchet spaces. Utilizing the technique of measures of noncompactness in conjunction with the
Abdelhamid Bensalem, Abdelkrim Salim, Bashir Ahmad, Mouffak Benchohra   +3 more
doaj   +1 more source

Investigation of the Generalized Proportional Langevin and Sturm–Liouville Fractional Differential Equations via Variable Coefficients and Antiperiodic Boundary Conditions with a Control Theory Application Arising from Complex Networks

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
This article studies the existence theory of an innovation type of generalized proportional fractional differential equations with the assistance of the technique of Kuratowski measure on noncompactness combined with the fixed‐point theorem of Mönch.
Abdellatif Boutiara, Mohammed K. A. Kaabar, Zailan Siri, Mohammad Esmael Samei, Xiao-Guang Yue, Abdellatif Ben Makhlouf   +5 more
wiley   +1 more source

Solution of a Fractional Integral Equation Using the Darbo Fixed Point Theorem

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The concept of measure of noncompactness in a Banach space is used in this paper to extend some tripled fixed point theorems. We prove the existence of fractional integral equation solutions using a generalized Darbo fixed point theorem. To demonstrate the validity of the main result, an example is provided.
Bhuban Chandra Deuri, Marija V. Paunović, Anupam Das, Vahid Parvaneh, Ali Jaballah   +4 more
wiley   +1 more source

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   +1 more source

A Study on ψ‐Caputo‐Type Hybrid Multifractional Differential Equations with Hybrid Boundary Conditions

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this research paper, we investigate the existence, uniqueness, and Ulam–Hyers stability of hybrid sequential fractional differential equations with multiple fractional derivatives of ψ‐Caputo with different orders. Using an advantageous generalization of Krasnoselskii’s fixed point theorem, we establish results of at least one solution, whereas the ...
Fouad Fredj, Hadda Hammouche, Mohammed S. Abdo, Wedad Albalawi, Abdulrazak H. Almaliki, Melike Kaplan   +5 more
wiley   +1 more source