Results 11 to 20 of about 173,308,892 (93)

Study on Controllability for Ψ-Hilfer Fractional Stochastic Differential Equations

Fractal and Fractional
The goal of this paper is to study the existence of a mild solution and controllability for a class of neutral stochastic differential equations (SDEs) involving the Ψ-Hilfer fractional derivatives, a generalization of the well-known Riemann–Liouville ...
Abdur Raheem, Fahad M. Alamrani, Javed Akhtar, Adel Alatawi, Esmail Alshaban, Areefa Khatoon, Faizan Ahmad Khan   +6 more
doaj   +2 more sources

Maximal noncompactness of Wiener-Hopf operators [PDF]

Let $X(\mathbb{R})$ be a separable translation-invariant Banachfunction space and $a$ be a Fourier multiplier on $X(\mathbb{R})$. We provethat the Wiener-Hopf operator $W(a)$ with symbol $a$ is maximally noncompacton the space $X(\mathbb{R}_+)$, that is,
Karlovych, Oleksiy, Shargorodsky, Eugene; id_orcid   +1 more
core   +10 more sources

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

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

Global Attractor for Second‐Order Nonlinear Evolution Differential Inclusions

Complexity, Volume 2021, Issue 1, 2021., 2021
In this paper, we address the model of global attractor formulated in the form of evolution differential inclusions with second order in Banach spaces. Firstly, based on the fixed point theorem, the existence result of mild solutions is deduced. Then, by implementing the measure of noncompactness, the existence of global attractor associated with m ...
Guangwang Su, Funing Lin, Ahmed Mostafa Khalil   +2 more
wiley   +1 more source

Solvability for generalized nonlinear two dimensional functional integral equations via measure of noncompactness

Advances in Difference Equations, 2021
In this article, we provide the existence result for functional integral equations by using Petryshyn’s fixed point theorem connecting the measure of noncompactness in a Banach space. The results enlarge the corresponding results of several authors.
Soniya Singh, Bhupander Singh, Kottakkaran Sooppy Nisar, Abd-Allah Hyder, M. Zakarya   +4 more
doaj   +1 more source

Cauchy problems for functional evolution inclusions involving accretive operators

Electronic Journal of Qualitative Theory of Differential Equations, 2013
We study the existence and stability of solutions for a class of nonlinear functional evolution inclusions involving accretive operators. Our approach is employing the fixed point theory for multivalued maps and using estimates via the Hausdorff measure ...
Tran Ke
doaj   +1 more source

Best proximity point results and application to a system of integro-differential equations

Advances in Difference Equations, 2021
In this work, we solve the system of integro-differential equations (in terms of Caputo–Fabrizio calculus) using the concepts of the best proximity pair (point) and measure of noncompactness.
Anupam Das, Hemant Kumar Nashine, Rabha W. Ibrahim, Manuel De la Sen   +3 more
doaj   +1 more source

An extension of Darbo’s fixed point theorem for a class of system of nonlinear integral equations

Advances in Difference Equations, 2020
We introduce an extension of Darbo’s fixed point theorem via a measure of noncompactness in a Banach space. By using our extension we study the existence of a solution for a system of nonlinear integral equations, which is an extended result of (Aghajani
Amar Deep, Deepmala, Jamal Rezaei Roshan, Kottakkaran Sooppy Nisar, Thabet Abdeljawad   +4 more
doaj   +1 more source

Hausdorff Measure of Noncompactness of Matrix Mappings on Cesaro Spaces

, 2021
In this study we establish some identities or estimates for operator norms and the Hausdorff measure of noncompactness of certain operators on the spaces |C-alpha|(kappa) , which have more recently been introduced in [22].
Sarigol, M. Ali, Gulec, G. Canan Hazar, G. Canan Hazar Güleç, M. Ali Sarıgöl   +3 more
core   +1 more source