AbstractThe Cauchy type mean-value theorems for the Riemann–Liouville fractional derivative are deduced here from known mean-value theorems of the Lagrange type. A general method for deducing these Cauchy type formulas is extracted. Two Cauchy type formulas are then deduced without a priori knowledge about the Lagrange type mean-value theorems
The Cauchy mean-value theorem states that if f and g are two functions continuous on [a,b] and diffe...
AbstractFor a function f defined in an interval I, satisfying the conditions ensuring the existence ...
In order to develop certain fractional probabilistic analogues of Taylor’s theorem and mean value th...
We establish analogues of the mean value theorem and Taylor's theorem for fractional differential op...
We extend the results on the Mean Value Theorem obtained by Flett, Myers, Sahoo, Cakmak and Tiryaki...
Here is introduced and studied the left fractional local general M-derivative of various orders. All...
In this paper, we continue with the development of the newly Benkhettou–Hassani–Torres fractional (n...
AbstractThe Cauchy type mean-value theorems for the Riemann–Liouville fractional derivative are dedu...
This article introduces some new straightforward and yet powerful formulas in the form of series sol...
Here is introduced and studied the left fractional local general M-derivative of various orders. All...
Here is introduced and studied the right fractional local general M-derivative of various orders. Al...
summary:Several mean value theorems for higher order divided differences and approximate Peano deriv...
summary:The aim of the paper is to present some mean value theorems obtained as consequences of the ...
Abstract. In this paper we give a generalization of the Lagrange mean value theorem via lower and up...
AbstractIn this work the left and right Riemann–Liouville derivatives are introduced. A generalized ...
The Cauchy mean-value theorem states that if f and g are two functions continuous on [a,b] and diffe...
AbstractFor a function f defined in an interval I, satisfying the conditions ensuring the existence ...
In order to develop certain fractional probabilistic analogues of Taylor’s theorem and mean value th...
We establish analogues of the mean value theorem and Taylor's theorem for fractional differential op...
We extend the results on the Mean Value Theorem obtained by Flett, Myers, Sahoo, Cakmak and Tiryaki...
Here is introduced and studied the left fractional local general M-derivative of various orders. All...
In this paper, we continue with the development of the newly Benkhettou–Hassani–Torres fractional (n...
AbstractThe Cauchy type mean-value theorems for the Riemann–Liouville fractional derivative are dedu...
This article introduces some new straightforward and yet powerful formulas in the form of series sol...
Here is introduced and studied the left fractional local general M-derivative of various orders. All...
Here is introduced and studied the right fractional local general M-derivative of various orders. Al...
summary:Several mean value theorems for higher order divided differences and approximate Peano deriv...
summary:The aim of the paper is to present some mean value theorems obtained as consequences of the ...
Abstract. In this paper we give a generalization of the Lagrange mean value theorem via lower and up...
AbstractIn this work the left and right Riemann–Liouville derivatives are introduced. A generalized ...
The Cauchy mean-value theorem states that if f and g are two functions continuous on [a,b] and diffe...
AbstractFor a function f defined in an interval I, satisfying the conditions ensuring the existence ...
In order to develop certain fractional probabilistic analogues of Taylor’s theorem and mean value th...
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