FRACTIONAL INTEGRAL INEQUALITIES OF VARIABLE ORDER ON SPHERICAL SHELL
Abstract
Here left and right Riemann-Liouville generalized fractional radial integral operators of variable order over a spherical shell are introduced, as well as left and right weighted Caputo type generalized fractional radial derivatives of variable order over a spherical shell. After proving continuity of these operators, we establish a series of left and right fractional integral inequalities of variable order over the spherical shell of Opial and Hardy types. Extreme cases are met.
Publication Title
Matematicki Vesnik
Recommended Citation
Anastassiou, G. (2022). FRACTIONAL INTEGRAL INEQUALITIES OF VARIABLE ORDER ON SPHERICAL SHELL. Matematicki Vesnik, 74 (1), 42-55. https://doi.org/10.1007/978-3-030-71481-9_2
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