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Should they be considered "fractional citizens," with perhaps a fractional right to vote?
Also, we define the fuzzy fractional right Riemann-Liouville operator by I b − ν f ( x ) = 1 Γ ⊙ ∫ x b ( t − x ) ν − 1 ⊙ f ( t ) d t, x ∈ [ a, b ]. (8).
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Let be a weight function on, denotes the hypergeometric function, and denotes the Erdélyi-Kober type fractional right-sided integral.
Some basic properties of a right fractional sum and right fractional difference operators are proved.
In this paper, the concepts of a right fractional sum and right fractional difference operators are introduced.
In this section, the concepts of a right fractional sum and right fractional difference operators are introduced and their some basic properties are proved.
According to these properties of a right fractional sum and right fractional difference operators, we studied an initial problem and a boundary value problem with two-point boundary conditions.
On the other hand, according to these properties of a right fractional sum and right fractional difference operators, we studied an initial problem and a boundary value problem with two-point boundary conditions.
By means of the action of the Q-operator on left and right fractional sums and differences, we can define the right fractional sums (( ^{AB}nabla^{-alpha} _{b} f)(t)) and differences ((^{AB}nabla^{alpha}_{b} f)(t)) as follows.
Apart from their possible applications, equations with left and right fractional derivatives are an interesting and new field in fractional differential equations theory.
Note that the above two dual lemmas for right fractional differences cannot be obtained if we apply the definition of the delta right fractional difference introduced in [14] and [13].
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