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Published in 2017 at "Filomat"
DOI: 10.2298/fil1702451b
Abstract: This paper is devoted to study the existence of mild solutions for semilinear functional differential equations with state-dependent delay involving the Riemann-Liouville fractional derivative in a Banach space and resolvent operator. The arguments are based…
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Keywords:
measure noncompactness;
equations state;
dependent delay;
state dependent ... See more keywords
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Published in 2020 at "Filomat"
DOI: 10.2298/fil2011861p
Abstract: In this paper, with the help of measure of noncompactness together with Darbo-type fixed point theorem, we focus on the infinite system of third-order differential equations u′′′ i + au ′′ i + bu ′…
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Keywords:
infinite system;
system;
order differential;
measure noncompactness ... See more keywords
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Published in 2024 at "Filomat"
DOI: 10.2298/fil2414099h
Abstract: In this article, we establish the best proximity point (pair) theorems for condensing operators defined on some new class of functions using the measure of noncompactness. Our theorems extend the Darbo type fixed point theorem…
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Keywords:
caputo fractional;
system caputo;
point;
proximity point ... See more keywords
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Published in 2020 at "Axioms"
DOI: 10.3390/axioms9020059
Abstract: In this research article, we introduce a new class of hybrid Langevin equation involving two distinct fractional order derivatives in the Caputo sense and Riemann–Liouville fractional integral. Supported by three-point boundary conditions, we discuss the…
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Keywords:
measure noncompactness;
langevin fractional;
measure;
fractional differential ... See more keywords