A Correlation Between Solutions of Uncertain Fractional Forward Difference Equations and Their Paths
H. M. Srivastava, Pshtiwan Othman Mohammed
Abstract
We consider the comparison theorems for the fractional forward h -difference equations in the context of discrete fractional calculus. Moreover, we consider the existence and uniqueness theorem for the uncertain fractional forward h -difference equations. After that the relations between the solutions for the uncertain fractional forward h -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.
Topics & Concepts
UniquenessMathematicsFractional calculusContext (archaeology)Applied mathematicsPicard–Lindelöf theoremMathematical analysisFixed-point theoremPaleontologyBiologyFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisFuzzy Systems and Optimization