Abstract
This paper studies a fractional difference equation of two point boundary value problem (BVP) type, which is recognized as the ‘discrete’ BVP. Certain cases are expressed under which the discrete boundary value problems (DBVP) will have a single solution. The novelty hither comprises a method selection of metric and employment of Holder’s inequality. This attitude allows the related functions to be contractive, which were earlier non-contractive in classical regularities. This consequently qualifies an enhanced application of Banach’s fixed point theorem for classifying a more extensive framework of issues than those which appeared in the current designs.
Highlights
In [ ], Diaz and Osler concluded that the fractional difference by choice is a normal method of letting the index of differences, in the criterion appearance for the nth difference, to be any number
In [ ], Jumarie suggested another formula of fractional difference operator, of which the leading features are a new fractional Taylor series and its companion Rolle’s formula which are employed to non-differentiable functions
This paper aims to study a fractional difference equation of two point boundary value problem (BVP) type, which was realized as the discrete BVP
Summary
In [ ], Diaz and Osler concluded that the fractional difference by choice is a normal method of letting the index of differences, in the criterion appearance for the nth difference, to be any number (real or complex). The investigation of fractional differential equations (FDE) was started to establish the existence and uniqueness of findings. This paper aims to study a fractional difference equation of two point BVP type, which was realized as the discrete BVP. The novelty hither comprises a method selection of metric and employment of Hölder’s inequality This investigation allows the related functions to be contractive, which were earlier non-contractive in classical regularities. This work, unlike those which appeared in the current designs, grants the enhanced applications of Banach’s fixed point theorem for classifying an extensive framework of issues. This paper studies a boundary value problem that includes a nonlinear difference equation.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
