In this survey paper, we analyze two constructions of fractional derivatives proposed by Aleksey Letnikov (1837–1888) and by André Marchaud (1887–1973), respectively. These derivatives play very important roles in Fractional Calculus and its applications
A b s t r a c t: The subject of fractional calculus (that is, calculus of integrals and derivatives...
In this paper, we mainly consider fractional integral and derivatives including the Riemann-Liouvill...
Fractional calculus was first developed by pure mathematicians in the middle of the 19th century. So...
In this paper, we recall the contribution given by Hermann Weyl and André Marchaud to the notion of ...
Several fractional-order operators are available and an in-depth knowledge of the selected operator ...
Leibnitz in 1663 introduced the derivative notation for the order of natural numbers, and then the i...
Several fractional-order operators are available and an in-depth knowledge of the selected operator ...
Abstract: The subject of fractional calculus and its applications (that is, calculus of integrals an...
Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2007Includes bibliographical ref...
This paper discusses the concepts underlying the formulation of operators capable of being interpret...
We attempt to introduce differintegrals and fractional calculus to undergraduates. After a brief his...
In this survey paper, we analyze the development of Fractional Calculus in Russia at the end of the ...
Given the increasing number of proposals and definitions of operators in the scope of fractional cal...
In this paper the historical origins of fractional calculus are explored with respect to non-conform...
The fractional derivative has a long history in mathematics dating back further than integer-order d...
A b s t r a c t: The subject of fractional calculus (that is, calculus of integrals and derivatives...
In this paper, we mainly consider fractional integral and derivatives including the Riemann-Liouvill...
Fractional calculus was first developed by pure mathematicians in the middle of the 19th century. So...
In this paper, we recall the contribution given by Hermann Weyl and André Marchaud to the notion of ...
Several fractional-order operators are available and an in-depth knowledge of the selected operator ...
Leibnitz in 1663 introduced the derivative notation for the order of natural numbers, and then the i...
Several fractional-order operators are available and an in-depth knowledge of the selected operator ...
Abstract: The subject of fractional calculus and its applications (that is, calculus of integrals an...
Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2007Includes bibliographical ref...
This paper discusses the concepts underlying the formulation of operators capable of being interpret...
We attempt to introduce differintegrals and fractional calculus to undergraduates. After a brief his...
In this survey paper, we analyze the development of Fractional Calculus in Russia at the end of the ...
Given the increasing number of proposals and definitions of operators in the scope of fractional cal...
In this paper the historical origins of fractional calculus are explored with respect to non-conform...
The fractional derivative has a long history in mathematics dating back further than integer-order d...
A b s t r a c t: The subject of fractional calculus (that is, calculus of integrals and derivatives...
In this paper, we mainly consider fractional integral and derivatives including the Riemann-Liouvill...
Fractional calculus was first developed by pure mathematicians in the middle of the 19th century. So...