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Comparison theorems and distributions of solutions to uncertain fractional difference equations
Journal of Computational and Applied Mathematics ( IF 1.883 ) Pub Date : 2020-03-23 , DOI: 10.1016/j.cam.2020.112884
Qinyun Lu; Yuanguo Zhu

This paper primarily focuses on the distributions of the solutions for uncertain fractional difference equations by comparison theorems. First, comparison theorems are obtained for the fractional difference equations involving Riemann–Liouville type. Then the concepts of symmetrical uncertain variable and α-path to an uncertain fractional difference equation are introduced. Moreover, the relations between the solutions for the uncertain fractional difference equations with symmetrical uncertain variables and their α-paths are established and verified by the obtained comparison theorems. Finally, the numerical results of the uncertainty distributions of solutions for the uncertain fractional difference equations are proposed, considering the relations between their solutions and α-paths.
更新日期:2020-03-24

 

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