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Variable order R-L fractional calculus and its Applications
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This paper presents a concise study of variable-order fractional calculus using the Riemann-Liouville approach. Specifically, we consider the Mittag-Leffler function with a single parameter as the order for both Riemann-Liouville fractional differentiation (FD) and fractional integration (FI). The study explores the impact of varying the parameter in the Mittag-Leffler (M-L) function and applies this variable-order fractional operator to polynomial functions of different degrees. For clarity and completeness, the behavior of the Mittag-Leffler-based Riemann-Liouville fractional calculus is examined both theoretically and graphically.
Title: Variable order R-L fractional calculus and its Applications
Description:
This paper presents a concise study of variable-order fractional calculus using the Riemann-Liouville approach.
Specifically, we consider the Mittag-Leffler function with a single parameter as the order for both Riemann-Liouville fractional differentiation (FD) and fractional integration (FI).
The study explores the impact of varying the parameter in the Mittag-Leffler (M-L) function and applies this variable-order fractional operator to polynomial functions of different degrees.
For clarity and completeness, the behavior of the Mittag-Leffler-based Riemann-Liouville fractional calculus is examined both theoretically and graphically.
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