In this paper, we mainly consider fractional integral and derivatives including the Riemann-Liouville derivative, Caputo derivative, Grünwald-Letnikov derivative, Marchaud derivative, Riesz derivative, local fractional derivative, Canavati derivative. Then we introduce their existence conditions. Important issues on these fractional integral and derivatives are also included
AbstractIn this paper we study the classical fractional integrals of Riemann-Liouville and Weyl cons...
In this paper we present a generalization to two existing fractional integrals and derivatives, name...
Main results and techniques of the fractional calculus of variations are surveyed. We consider varia...
We attempt to introduce differintegrals and fractional calculus to undergraduates. After a brief his...
Copyright © 2013 Eliana Contharteze Grigoletto, Edmundo Capelas de Oliveira. This is an open access ...
This paper discusses the concepts underlying the formulation of operators capable of being interpret...
This work represents an overview of the given topic. After a short historical intro- duction, we pre...
In this paper, we extend the definition of the fractional integral and derivative introduced in [App...
We talk about fractional derivatives and fractional integrals. Caputo-Type Fractional derivative and...
In this paper, we extend the definition of the fractional integral and derivative introduced in [App...
Recently, many models are formulated in terms of fractional derivatives, such as in control processi...
A b s t r a c t: The subject of fractional calculus (that is, calculus of integrals and derivatives...
We introduce the fractional integral corresponding to the new concept of fractional derivative recen...
In this paper, we discuss the existence and uniqueness of solutions for a new class of single and mu...
Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2007Includes bibliographical ref...
AbstractIn this paper we study the classical fractional integrals of Riemann-Liouville and Weyl cons...
In this paper we present a generalization to two existing fractional integrals and derivatives, name...
Main results and techniques of the fractional calculus of variations are surveyed. We consider varia...
We attempt to introduce differintegrals and fractional calculus to undergraduates. After a brief his...
Copyright © 2013 Eliana Contharteze Grigoletto, Edmundo Capelas de Oliveira. This is an open access ...
This paper discusses the concepts underlying the formulation of operators capable of being interpret...
This work represents an overview of the given topic. After a short historical intro- duction, we pre...
In this paper, we extend the definition of the fractional integral and derivative introduced in [App...
We talk about fractional derivatives and fractional integrals. Caputo-Type Fractional derivative and...
In this paper, we extend the definition of the fractional integral and derivative introduced in [App...
Recently, many models are formulated in terms of fractional derivatives, such as in control processi...
A b s t r a c t: The subject of fractional calculus (that is, calculus of integrals and derivatives...
We introduce the fractional integral corresponding to the new concept of fractional derivative recen...
In this paper, we discuss the existence and uniqueness of solutions for a new class of single and mu...
Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2007Includes bibliographical ref...
AbstractIn this paper we study the classical fractional integrals of Riemann-Liouville and Weyl cons...
In this paper we present a generalization to two existing fractional integrals and derivatives, name...
Main results and techniques of the fractional calculus of variations are surveyed. We consider varia...
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