Dichotomy of Linear Partial Differential Equations of Neutral Type in Banach Spaces
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-020-09864-1
Abstract: This present paper is mainly devoted to investigate the property of spectral decomposition of neutral differential equations in infinite dimensional setting, that is the exponential dichotomy. In fact, we prove that the exponential dichotomy of… read more here.
Keywords: partial differential; dichotomy linear; neutral type; equations neutral ... See more keywords
Analysis of Fractional Functional Differential Equations of Neutral Type with Nonlocal Conditions
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DOI: 10.1007/s12591-016-0290-1
Abstract: This work deals with the existence of solutions for a class of nonlinear nonlocal fractional functional differential equations of neutral type in Banach spaces. In particular, we prove the existence of solutions with the assumptions… read more here.
Keywords: neutral type; equations neutral; analysis fractional; differential equations ... See more keywords
Efficient Solutions for Stochastic Fractional Differential Equations with a Neutral Delay Using Jacobi Poly-Fractonomials
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DOI: 10.3390/math12203273
Abstract: This paper introduces a novel numerical technique for solving fractional stochastic differential equations with neutral delays. The method employs a stepwise collocation scheme with Jacobi poly-fractonomials to consider unknown stochastic processes. For this purpose, the… read more here.
Keywords: differential equations; efficient solutions; poly fractonomials; jacobi poly ... See more keywords