On the fractional signals and systems
A look into fractional calculus and their applications from the signal processing point of view
is done in this paper. A coherent approach to the fractional derivative is presented, leading …
is done in this paper. A coherent approach to the fractional derivative is presented, leading …
[書籍][B] Fractional calculus: models and numerical methods
The subject of fractional calculus and its applications (that is, convolution-type pseudo-
differential operators including integrals and derivatives of any arbitrary real or complex …
differential operators including integrals and derivatives of any arbitrary real or complex …
Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives
We introduce a new generalized Caputo-type fractional derivative which generalizes Caputo
fractional derivative. Some characteristics were derived to display the new generalized …
fractional derivative. Some characteristics were derived to display the new generalized …
On the concept of solution for fractional differential equations with uncertainty
RP Agarwal, V Lakshmikantham, JJ Nieto - Nonlinear Analysis: Theory …, 2010 - Elsevier
On the concept of solution for fractional differential equations with uncertainty - ScienceDirect
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Nonlocal Cauchy problem for fractional evolution equations
Y Zhou, F Jiao - Nonlinear analysis: real world applications, 2010 - Elsevier
In this paper, the nonlocal Cauchy problem is discussed for the fractional evolution
equations in an arbitrary Banach space and various criteria on the existence and …
equations in an arbitrary Banach space and various criteria on the existence and …
[PDF][PDF] Fractional Differentiation Inequalities
GA Anastassiou - 2009 - dspace.kottakkalfarookcollege.edu …
In 1991, although I had graduated in 1984, my great Ph. D. thesis advisor JHB Kemperman
recommended that I read the very interesting paper of J. Canavati [101], having to do with …
recommended that I read the very interesting paper of J. Canavati [101], having to do with …
A study of nonlinear Langevin equation involving two fractional orders in different intervals
This paper studies a nonlinear Langevin equation involving two fractional orders α∈(0, 1]
and β∈(1, 2] with three-point boundary conditions. The contraction map** principle and …
and β∈(1, 2] with three-point boundary conditions. The contraction map** principle and …
Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations
RP Agarwal, D O'Regan, S Staněk - Journal of Mathematical Analysis and …, 2010 - Elsevier
In this paper, we investigate the existence of positive solutions for the singular fractional
boundary value problem: Dαu (t)+ f (t, u (t), Dμu (t))= 0, u (0)= u (1)= 0, where 1< α< 2, 0< μ⩽ …
boundary value problem: Dαu (t)+ f (t, u (t), Dμu (t))= 0, u (0)= u (1)= 0, where 1< α< 2, 0< μ⩽ …
On the fractional differential equations with uncertainty
This paper is based on the concept of fuzzy differential equations of fractional order
introduced by Agarwal et al.[RP Agarwal, V. Lakshmikantham, JJ Nieto, On the concept of …
introduced by Agarwal et al.[RP Agarwal, V. Lakshmikantham, JJ Nieto, On the concept of …
[PDF][PDF] Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions
This paper deals with some existence results for a boundary value problem involving a
nonlinear integrodifferential equation of fractional order with integral boundary conditions …
nonlinear integrodifferential equation of fractional order with integral boundary conditions …