Existence and Uniqueness Theorem of the Solution to a Class of Nonlinear Nabla Fractional Difference System with a Time Delay
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DOI: 10.1007/s00009-018-1258-x
Abstract: In this paper, we investigate an existence and uniqueness theorem of the solution to a class of nonlinear nabla fractional difference system with a time delay. More precisely, observing $$\nu (t-k)^{\overline{\nu -1}}\le {t^{\bar{\nu }}}$$ν(t-k)ν-1¯≤tν¯, we… read more here.
Keywords: fractional difference; difference system; nabla fractional; nonlinear nabla ... See more keywords
Gronwall's inequality for a nabla fractional difference system with a retarded argument and an application
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2019.1581180
Abstract: ABSTRACT We study the nabla fractional difference system with retarded argument. There are two major ingredients. A Gronwall's inequality for the nabla case is given. This allows us to evaluate the solution of nabla fractional… read more here.
Keywords: difference system; difference; fractional difference; nabla fractional ... See more keywords
Non-Trivial Solutions of Non-Autonomous Nabla Fractional Difference Boundary Value Problems
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DOI: 10.3390/sym13061101
Abstract: In this article, we present a two-point boundary value problem with separated boundary conditions for a finite nabla fractional difference equation. First, we construct an associated Green’s function as a series of functions with the… read more here.
Keywords: fractional difference; nabla fractional; boundary value; non trivial ... See more keywords