Applied Mathematical Sciences, Vol. 4, 2010, no. 21, 1021 - 1032 Applications of Fractional Calculus Mehdi Dalir Department of Mathematics Faculty of Sciences Islamic Azad University of Varamin(Pishva) Varamin-Tehran-Iran Majid Bashour Department of Mathematics Faculty of Sciences Islamic Azad University ...
Introduction to fractional calculus (Based on lectures by R. Goreno, F. Mainardi and I. Podlubny) R. Vilela Mendes July 2008 () July 2008 1 / 44 Contents - Historical origins of fractional calculus - Fractional integral according to Riemann-Liouville - ...
On Tempered and Substantial Fractional Calculus 1,2 1 2,∗ Jianxiong Cao , Changpin Li and YangQuan Chen Abstract—In this paper, we discuss the differences between the Momoniat[11] compare the numerical solutions of three kinds tempered fractional calculus and ...
Generalized Transversality Conditions in Fractional Calculus of Variations Ricardo Almeida1 Agnieszka B. Malinowska2 ricardo.almeida@ua.pt a.malinowska@pb.edu.pl 1Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal 2Faculty of Computer Science, Bia lystok University of Technology, 15-351 Bia ...
Fractional Calculus Fundamentals and Applications in Economic Modeling by Austin McTier Athesis submitted to the Georgia College & State University in partial fulllment of the requirements for the degree of Bachelor of Science in Mathematics Milledgeville, Georgia December 12 ...
LECTURENOTESONMATHEMATICALPHYSICS Department of Physics, University of Bologna, Italy URL: www.fracalmo.org FRACTIONAL CALCULUS AND SPECIAL FUNCTIONS Francesco MAINARDI Department of Physics, University of Bologna, and INFN Via Irnerio 46, I–40126 Bologna, Italy. francesco.mainardi@unibo.it francesco.mainardi@bo.infn ...
Fractional Calculus: dierentiation and integration of non-integer order Marcus Webb Oxford University May 9, 2012 Marcus Webb Fractional Calculus: dierentiation and integration of non-integer order Introduction: Standard calculus The dierential calculus we all know and love was invented independently by ...
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Elsevier - Publisher Connector J. Math. Anal. Appl. 270 (2002) 66–79 www.academicpress.com Oncalculus of local fractional derivatives A. Babakhani and ...
Stochastic dierential equations driven by fractional Brownian motions ∗ Fabrice Baudoin 34th Finnish summer school on Probability theory and Statistics Contents 1 Fractional Brownian motion 2 2 Young’s integrals and stochastic dierential equations driven by fractional Brownian motions 4 ...
Applied Mathematics and Computation 257 (2015) 12–33 Contents lists available at ScienceDirect Applied Mathematics and Computation journal homepage:www.elsevier.com/locate/amc Lattice fractional calculus Vasily E. Tarasov Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow 119991, Russia article ...
ARTICLE IN PRESS Physica A 367 (2006) 181–190 www.elsevier.com/locate/physa Fractional vector calculus for fractional advection–dispersion$ a, b c Mark M. Meerschaert , Jeff Mortensen , Stephen W. Wheatcraft aDepartment of Mathematics & Statistics, University of Otago ...
Fractional and Multifractional Brownian Motions Stochastic integral w.r.t. mBm White Noise Theory Stochastic Calculus w.r.t. Multifractional Brownian Motion Seminaire Cristolien d’Analyse Multifractale Creteil, le 21 novembre 2013. 1/47 Joachim Lebovits, Universite de Paris 13 Nord ...
Mathematica Balkanica ————————— NewSeries Vol. 26, 2012,Fasc. 1-2 Calculus of Variations with Classical and Fractional Derivatives Tatiana Odzijewicz 1, Delm F. M. Torres 2 Presented at 6th International Conference “TMSF&rsquo ...
CISM LECTURE NOTES International Centre for Mechanical Sciences Palazzo del Torso, Piazza Garibaldi, Udine, Italy FRACTIONAL CALCULUS: Integral and Dierential Equations of Fractional Order Rudolf GORENFLO and Francesco MAINARDI Department of Mathematics Department of Physics Free University of Berlin University ...
Calculus of Variations with Fractional and Classical Derivatives Tatiana Odzijewicz∗ Delm F. M. Torres∗∗ ∗ Department of Mathematics, University of Aveiro 3810-193 Aveiro, Portugal (e-mail: tatianao@ua.pt) ∗∗ Department of Mathematics, University of Aveiro 3810-193 Aveiro, Portugal (e-mail: ...
From "Fractional Calculus and its Applications", Springer Lecture Notes in Mathematics, volume 57, 1975, pp.1-36. A BRIEF HISTORY AND EXPOSITION OF THE FUNDAMENTAL THEORY OF FRACTIONAL CALCULUS BERTRAM ROSS Abstract: This opening lecture is intended to ...
faculty of mathematics and natural sciences Fractional Calculus Bachelor Project Mathematics October 2015 Student: D.E. Koning First supervisor: Dr. A.E. Sterk Second supervisor: Prof. dr. H.L. Trentelman Abstract This thesis introduces fractional derivatives and fractional integrals, shortly ...
PROCEEDINGSOFTHE AMERICANMATHEMATICALSOCIETY Volume 137, Number 3, March 2009, Pages 981989 S 0002-9939(08)09626-3 Article electronically published on September 10, 2008 INITIAL VALUE PROBLEMS IN DISCRETE FRACTIONAL CALCULUS FERHANM.ATICIANDPAULW.ELOE (Communicated by Jane M. Hawkins) Abstract. This paper is devoted to ...
Introduction Some problems Fractional Calculus and Some Problems Ewa Girejko e.girejko@pb.edu.pl Faculty of Computer Science Bialystok University of Technology, Poland 15 March, 2013 Rutgers University, Camden, USA Ewa Girejko Seminar in Rutgers University, Camden March 2013 Introduction ...
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