Results 41 to 50 of about 289 (110)
On the Existence of the Solutions for Some Nonlinear Volterra Integral Equations
Abstract and Applied Analysis, 2013 We present a theorem which gives sufficient conditions for existence of at least one solution for some nonlinear functional integral equations in the space of continuous functions on the interval [0,a]. To do this, we will use Darbo's fixed-point theorem
İsmet Özdemir +2 more
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Dirichlet problem in Banach spaces: the bound sets approach [PDF]
, 2013 The existence and localization result is obtained for a multivalued Dirichlet problem in a Banach space. The upper-Carathéodory and Marchaud right-hand sides are treated separately because in the latter case, the transversality conditions derived by ...
Jan Andres +2 more
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A new contraction based on H -simulation functions in the frame of extended b-metric spaces and application [PDF]
, 2023 The conceptions of b-metric spaces and metric spaces play a remarkable role in proving many theorems of uniqueness and existence solution of such equations as integral or differential equations. The conception of extended b-metric spaces is considered as
Hatamleh, Raed, Qawasmeh, Tariq
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Journal of Innovative Applied Mathematics and Computational Sciences, 2023 In this work, we study the existence and the asymptotic stability of the continuous solutions for a general form for neutral integral equations of product type.
Azzeddine Bellour, Mahmoud Bousselsal
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Some generalizations of Darbo’s theorem and applications to fractional integral equations [PDF]
, 2016 In this paper, some generalizations of Darbo’s fixed point theorem are presented. An existence result for a class of fractional integral equations is given as an application of the obtained results.
Jleli,M. +4 more
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Fractal and FractionalThis 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 +4 more
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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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Controllability of nonlinear implicit fractional integrodifferential systems
International Journal of Applied Mathematics and Computer Science, 2014 In this paper, we study the controllability of nonlinear fractional integrodifferential systems with implicit fractional derivative. Sufficient conditions for controllability results are obtained through the notion of the measure of noncompactness of a ...
Balachandran Krishnan, Divya Shanmugam
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(SI10-003) Some New Fixed Point Theorem via Shifting Distance Functions [PDF]
, 2022 In this paper, we present a new fixed point theorem involving non-compactness measures and shifting distance functions. This paper provides a generalization of the famous fixed point theorem of Banach.
Deuri, Bhuban Chandra
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A NONLINEAR F-CONTRACTION FORM OF SADOVSKII'S FIXED POINT THEOREM AND ITS APPLICATION TO A FUNCTIONAL INTEGRAL EQUATION OF VOLTERRA TYPE [PDF]
, 2021 In this paper, we give a nonlinear F-contraction form of the Sadovskii fixedpoint theorem and we also investigate the existence of solutions for a functional integral equation of Volterra ...
Nourouzi, Kourosh +2 more
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