AUTHOR=Srivastava Hari Mohan , Mohammed Pshtiwan Othman 

TITLE=A Correlation Between Solutions of Uncertain Fractional Forward Difference Equations and Their Paths

JOURNAL=Frontiers in Physics

VOLUME=8

YEAR=2020

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.00280

DOI=10.3389/fphy.2020.00280

ISSN=2296-424X

ABSTRACT=<p>We consider the comparison theorems for the fractional forward <italic>h</italic>-difference equations in the context of discrete fractional calculus. Moreover, we consider the existence and uniqueness theorem for the uncertain fractional forward <italic>h</italic>-difference equations. After that the relations between the solutions for the uncertain fractional forward <italic>h</italic>-difference equations with symmetrical uncertain variables and their α-paths are established and verified using the comparison theorems and existence and uniqueness theorem. Finally, two examples are provided to illustrate the relationship between the solutions.</p>