
In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann–Liouville sense. We also introduce the nabla fractional derivative in Grünwald–Letnikov sense. Some of the basic properties and theorems related to nabla fractional calculus are discussed.
Nabla derivative, Riemann–Liouville derivative, nabla derivative, Fractional calculus, fractional calculus, nabla integral, General Mathematics (math.GM), Nabla integral, QA1-939, FOS: Mathematics, Time scales calculus, time scales calculus, Mathematics - General Mathematics, Grünwald–Letnikov derivative, Mathematics, fractional calculus; Grünwald–Letnikov derivative; Riemann–Liouville derivative; time scales calculus; nabla derivative; nabla integral, 26A33, 26E70
Nabla derivative, Riemann–Liouville derivative, nabla derivative, Fractional calculus, fractional calculus, nabla integral, General Mathematics (math.GM), Nabla integral, QA1-939, FOS: Mathematics, Time scales calculus, time scales calculus, Mathematics - General Mathematics, Grünwald–Letnikov derivative, Mathematics, fractional calculus; Grünwald–Letnikov derivative; Riemann–Liouville derivative; time scales calculus; nabla derivative; nabla integral, 26A33, 26E70
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