Monotonicity results for CFC nabla fractional differences with negative lower bound-Reference-Cited by-同舟云学术

Monotonicity results for CFC nabla fractional differences with negative lower bound

Published:2021-07-01 Issue:4 Volume:41 Page:221-229
ISSN:0174-4747
Container-title:Analysis
language:en
Short-container-title:

Author:

Goodrich Christopher S.¹^ORCID,Jonnalagadda Jagan M.²

Affiliation:

1. School of Mathematics and Statistics , UNSW Sydney , Sydney , NSW 2052 Australia

2. Department of Mathematics , Birla Institute of Technology and Science Pilani , Hyderabad - 500078, Telangana , India

Abstract

Abstract We consider the sequential CFC-type nabla fractional difference ( CFC ∇ a + 1 ν ∇ a μ CFC u ) ( t )

{(^{\mathrm{CFC}}\nabla^{\nu}_{a+1}{}^{\mathrm{CFC}}\nabla^{\mu}_{a}u)(t)}

and show that one can derive monotonicity-type results even in the case where this difference satisfies a strictly negative lower bound. This illustrates some dissimilarities between the integer-order and fractional-order cases.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anly-2021-0011/pdf

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