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Existence of solutions for a fractional differential equations with integral boundary value problem at resonance on the half-line - MaRDI portal

Existence of solutions for a fractional differential equations with integral boundary value problem at resonance on the half-line (Q2289485)

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Existence of solutions for a fractional differential equations with integral boundary value problem at resonance on the half-line
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    Existence of solutions for a fractional differential equations with integral boundary value problem at resonance on the half-line (English)
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    23 January 2020
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    Summary: In this paper, some sufficient conditions are obtained for the existence of solutions for a fractional differential equation with integral boundary value problem at resonance on the half-line. By constructing a suitable Banach space, defining appropriate operators and using the coincidence degree theory due to \textit{J. Mawhin} [Topological degree methods in nonlinear boundary value problems. American Mathematical Society (AMS), Providence, RI (1979; Zbl 0414.34025)], some new sufficient conditions are obtained, which generalise and enrich some known results.
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    coincidence degree theory
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    fractional differential equations
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    integral boundary value problem
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    Banach space
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