Results 1 to 10 of about 98 (93)
Journal of Function Spaces, 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.
S. A. Mohiuddine +2 more
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Some New Generalization of Darbo’s Fixed Point Theorem and Its Application on Integral Equations
Mathematics, 2019 In this article, we propose some new fixed point theorem involving measure of noncompactness and control function. Further, we prove the existence of a solution of functional integral equations in two variables by using this fixed point theorem in Banach
Anupam Das, Bipan Hazarika, Poom Kumam
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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 +2 more
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On the constrained and unconstrained controllability of semilinear Hilfer fractional systems [PDF]
Archives of Control Sciences, 2023 In the paper finite-dimensional semilinear dynamical control systems described by fractional-order state equations with the Hilfer fractional derivative are discussed.
Beata Sikora
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Solution of a Fractional Integral Equation Using the Darbo Fixed Point Theorem
Journal of Mathematics, 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.
Bhuban Chandra Deuri +3 more
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An interpretation on controllability of Hilfer fractional derivative with nondense domain
Alexandria Engineering Journal, 2022 Controllability results of Hilfer delay fractional derivative(HDFD) with nondense operator have been articulated in this article. Primary discussions were made on the existence of mild solution using the Banach contraction principle and continued with ...
C. Ravichandran +4 more
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A New Common Fixed Point Theorem for Three Commuting Mappings
Axioms, 2020 In the present paper, we propose a common fixed point theorem for three commuting mappings via a new contractive condition which generalizes fixed point theorems of Darbo, Hajji and Aghajani et al.
Meryeme El Harrak, Ahmed Hajji
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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 +3 more
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Evolution equations in Fréchet spaces
Journal of Mathematical Sciences and Modelling, 2018 This paper deals with the existence of mild solutions for a class of evolution equations. The technique used is a generalization of the classical Darbo fixed point theorem for Fr\'{e}chet spaces associated with the concept of measure of noncompactness.
Mouffak Benchohra +3 more
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On the Darboux problem involving the distributional Henstock–Kurzweil integral
Boundary Value Problems, 2018 In this paper, we apply the method associated with the technique of measure of noncompactness and the Darbo fixed point theorem to study the existence of solutions of the Darboux problem involving the distributional Henstock–Kurzweil integral. Meanwhile,
Guoju Ye, Rong Cheng, Wei Liu, Hui Mei
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