S-Asymptotically $$\varvec{\omega }$$ω-Periodic Mild Solutions of Neutral Fractional Differential Equations with Finite Delay in Banach Space
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DOI: 10.1007/s00009-017-0855-4
Abstract: In this paper, we present some results concerning the existence and uniqueness of S-asymptotically $$\omega $$ω-periodic solutions for a class of nonlinear fractional differential equations with finite delay in Banach space X. These results are… read more here.
Keywords: delay banach; equations finite; fractional differential; omega periodic ... See more keywords
Hölder Continuous Solutions of Second Order Degenerate Differential Equations with Finite Delay
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DOI: 10.1007/s00025-019-0982-2
Abstract: In this paper, we characterize the $$C^\alpha $$Cα-well-posedness of the second order degenerate differential equation with finite delay $$(Mu)''(t) = Au(t) + Fu_t + f(t)$$(Mu)′′(t)=Au(t)+Fut+f(t), ($$t\in {\mathbb R}$$t∈R) by using known operator-valued Fourier multiplier results… read more here.
Keywords: order degenerate; finite delay; degenerate differential; second order ... See more keywords
Well-Posedness of Third Order Degenerate Differential Equations with Finite Delay in Banach Spaces
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DOI: 10.1007/s00025-021-01376-8
Abstract: In this paper, we give necessary and sufficient conditions for the $$L^p$$ -well-posedness (resp. $$B_{p,q}^s$$ -well-posedness) for the third order degenerate differential equation with finite delay: $$(Mu)'''(t) + (Nu)''(t)= Au(t) + Bu'(t) + Gu''_t +… read more here.
Keywords: order degenerate; degenerate differential; finite delay; well posedness ... See more keywords
Periodic Solutions of Third-order Differential Equations with Finite Delay in Vector-valued Functional Spaces
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DOI: 10.1007/s10114-018-8001-1
Abstract: In this paper, we study the well-posedness of the third-order differential equation with finite delay (P3): αu‴ (t) + u″(t) = Au(t) + Bu′ (t) + Fut + f(t)(t ∈ $$\mathbb{T}$$T:= [0, 2π]) with periodic… read more here.
Keywords: finite delay; well posedness; order differential; third order ... See more keywords
Existence results for ψ–Caputo fractional neutral functional integro-differential equations with finite delay
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DOI: 10.3906/mat-2010-9
Abstract: This research article deals with novel two species of initial value problems, one of them, the fractional neutral functional integrodifferential equations, and the other one, the coupled system of fractional neutral functional integrodifferential equations, with… read more here.
Keywords: neutral functional; equations finite; caputo fractional; fractional neutral ... See more keywords