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- Title
Quaternion Fractional Difference with Quaternionic Fractional Order and Applications to Fractional Difference Equation.
- Authors
Wang, Chao; Xie, Weiyu; Agarwal, Ravi P.
- Abstract
In this paper, we introduce the basic notions of the fractional summation, difference and q-difference with the quaternionic fractional order for the quaternion-valued functions and establish some of their basic properties. Based on this, the summation representations of solutions for the nonlinear quaternion-valued fractional difference equation and q-difference equation are obtained. In addition, several examples are provided to illustrate the feasibility of our obtained results in each section.
- Subjects
DIFFERENCE equations; QUATERNIONS; QUATERNION functions; NONLINEAR difference equations
- Publication
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2024, Vol 32, Issue 1, p271
- ISSN
1224-1784
- Publication type
Article
- DOI
10.2478/auom-2024-0015