Results 21 to 30 of about 55 (54)

On a measure of noncompactness in the space of regulated functions and its applications

Advances in Nonlinear Analysis, 2018
In this paper we formulate a criterion for relative compactness in the space of functions regulated on a bounded and closed interval. We prove that the mentioned criterion is equivalent to a known criterion obtained earlier by D.
Banaś Józef, Zając Tomasz
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On a generalized Krasnoselskii fixed point theorem

Open Mathematics
This study concerns a Krasnoselskii-type fixed point theorem for the sum of two operators A,BA,B in a Banach space EE, where BB is a Reich-type contractive mapping and AA is a k-set contractive mapping.
Pham Hien Van
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Monotone iterative methods for fractional non-autonomous evolution equations with delay

Open Mathematics
In this paper, we use a monotone iterative technique combined with lower and upper solutions to study the existence and uniqueness of solutions for fractional non-autonomous evolution equations with delay in Banach spaces.
Zhang Xuping, Yang Daixiong, O’Regan Donal   +2 more
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Solvability of an infinite system of nonlinear integral equations of Volterra-Hammerstein type

Advances in Nonlinear Analysis, 2019
The purpose of the paper is to study the solvability of an infinite system of integral equations of Volterra-Hammerstein type on an unbounded interval. We show that such a system of integral equations has at least one solution in the space of functions ...
Chlebowicz Agnieszka
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Existence of positive periodic solutions for evolution equations with delay in ordered Banach spaces

Open Mathematics
The main focus of this study is to discuss the existence of positive ω\omega -periodic mild solutions for evolution equation with delay in an ordered Banach space EE. Under the ordered conditions of the growth exponent of the nonlinearity gg with respect
Zhang Jing, Gou Haide
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PC-Asymptotically almost automorphic mild solutions for impulsive integro-differential equations with nonlocal conditions

In this article, we study the existence of PC-asymptotically almost automorphic mild solutions of integro-differential equations with nonlocal conditions via resolvent operators in Banach space. Further, we give sufficient conditions for the solutions to
BENCHOHRA, Mouffak, BENSALEM, Abdelhamid, LITIMEIN, Sara, IKHLEF, Nadia, SALIM, Abdelkrim   +4 more
core   +1 more source

Solving a system of Caputo-Hadamard fractional differential equations via Perov’s fixed point theorem

Annals of the West University of Timisoara: Mathematics and Computer Science
In this study, we discuss the existence and the uniqueness of the solution to Caputo-Hadamard Cauchy problems for a system of fractional differential equations, by using Perov’s fixed point theorem.
Nouar Aziza Souad, Nisse Khadidja, Beloul Said   +2 more
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An existence results of a product type fractional functional integral equations using Petryshyn's fixed point theorem

Journal of Taibah University for Science
In this paper, we investigate the existence of solutions for a new class of nonlinear product-type fractional functional integral equations (FFIEs) involving the Riemann–Liouville fractional integral operator.
Sukanta Halder, Deepmala, Cemil Tunç
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A study on the solvability of fractional integral equation in a Banach algebra via Petryshyn's fixed point theorem

Journal of Taibah University for Science
This study focuses on the nonlinear fractional functional integral equation (FFIE) concerning the Riemann-Liouville operator. In certain weaker conditions, the authors demonstrate that the FFIE has a solution, which is defined within the Banach algebra ...
Sukanta Halder, Deepmala, Cemil Tunç
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Existence and attractivity results on semi-infinite intervals for integrodifferential equations with non-instantaneous impulsions in Banach spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this article, we study the existence of mild solutions of a non-instantaneous integrodi erential equations on unbounded domain via resolvent operators in Banach space. For our proofs, we employ the semigroups theory and Schauder’s fixed point theorem.
Bensalem Abdelhamid, Salim Abdelkrim, Benchohra Mouffak, Karapinar Erdal   +3 more
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