This paper reviews the fractional vectorial differential operators proposed previously and introduces the fractional versions of the classic Green’s, Stokes’, and Ostrogradski-Gauss’s integral theorems. The suitability of fractional derivatives for sciences and the Laplacian definition are also discussed
Abstract: The subject of fractional calculus and its applications (that is, calculus of integrals an...
Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrar...
This paper deals with some multidimensional integral operators involving the Gauss hypergeometric fu...
A generalization of fractional vector calculus (FVC) as a self-consistent mathematical theory is pro...
This monograph provides the most recent and up-to-date developments on fractional differential and f...
Fractional calculus was first developed by pure mathematicians in the middle of the 19th century. So...
This paper discusses the concepts underlying the formulation of operators capable of being interpret...
During the past four decades or so, various operators of fractional calculus, such as those named af...
In this paper, we extend the definition of the fractional integral and derivative introduced in [App...
In this paper, we extend the definition of the fractional integral and derivative introduced in [App...
In recent years, various families of fractional-order integral and derivative operators, such as tho...
A b s t r a c t: The subject of fractional calculus (that is, calculus of integrals and derivatives...
Given the increasing number of proposals and definitions of operators in the scope of fractional cal...
Fractional calculus is allowing integrals and derivatives of any positive order (the term fractional...
We introduce the fractional integral corresponding to the new concept of fractional derivative recen...
Abstract: The subject of fractional calculus and its applications (that is, calculus of integrals an...
Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrar...
This paper deals with some multidimensional integral operators involving the Gauss hypergeometric fu...
A generalization of fractional vector calculus (FVC) as a self-consistent mathematical theory is pro...
This monograph provides the most recent and up-to-date developments on fractional differential and f...
Fractional calculus was first developed by pure mathematicians in the middle of the 19th century. So...
This paper discusses the concepts underlying the formulation of operators capable of being interpret...
During the past four decades or so, various operators of fractional calculus, such as those named af...
In this paper, we extend the definition of the fractional integral and derivative introduced in [App...
In this paper, we extend the definition of the fractional integral and derivative introduced in [App...
In recent years, various families of fractional-order integral and derivative operators, such as tho...
A b s t r a c t: The subject of fractional calculus (that is, calculus of integrals and derivatives...
Given the increasing number of proposals and definitions of operators in the scope of fractional cal...
Fractional calculus is allowing integrals and derivatives of any positive order (the term fractional...
We introduce the fractional integral corresponding to the new concept of fractional derivative recen...
Abstract: The subject of fractional calculus and its applications (that is, calculus of integrals an...
Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrar...
This paper deals with some multidimensional integral operators involving the Gauss hypergeometric fu...
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