Download presentation

Presentation is loading. Please wait.

Published byCara Sharper Modified over 3 years ago

1
SEQUENTIAL LINEAR DIFFERENTIONAL EQUATIONS OF FRACTIONAL ORDER Instructor : V. Dr. Scientist Dumitru BALEANU Seda ERGENÇ - Gözde PARLAK Çankaya University Department of Mathematics and Computer Science 10.06.2011

2
Introduction Fractional calculus is the branch of calculus that generalizes the derivative of a function to non- integer order. The main aim of this project is to understand the theoretical aspects of the sequential fractional derivative and we investigate some illustrative examples. The following topics were investigated: equential linear differential equations of fractional order, solution of linear differential equations with constant coefficients, solutions of fractional differential equations with variable coefficients. For each topic a number of examples were explained.

10
Solution of Linear Differential Equations With Constant Coefficient Solution of Linear Differential Equations With Constant Coefficient

12
Non-Sequential Linear Differential Equations with Constant Coefficients Non-Sequential Linear Differential Equations with Constant Coefficients

14
Systems of Equations Associated with Riemann-Louville and Caputo Derivatives

19
Solution of Fractional Differential Equations with Variable Coefficients. Generalized Method of Frobenius

21
Conclusion Conclusion In this project, we investigated the sequential linear differential equations of fractional order,solution of linear differential equations with constant coefficients,solutions of fractional differential equations with variable coefficients. We had a view of applications of the theory of the linear differential equations of fractional order. To conclude, we would like to thank Dumitru Baleanu for offering us this subject and for his personal efforts for our senior year Project.

22
References References - Podlubny,I.: Fractional Dierential Equations Academic Press, San Diego, 1999. - Samko,G.,Kilbas,A.A., and Marichev,O.I.: Fractional integrals and deriva- tives: Theory and Applications. Gordon and Breach, Yverdon. 1993. - Kilbas,A. A.,Srivastava, H. M. and Trujillo,J. J.: Theory and Applications of Fractional Dierential Equations, (North-Holland Mathematics Studies). 204, 2006. - Magin, R. L. Fractional Calculus in Bioengineering. Begell House Inc., Redding, CT, 2006. - Hilfer, R. (Ed.), Applications of Fractional Calculus in Physics. World Scientic, Singapore,2000. - Mainardi, F.:Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models, (Imperial College Press, London), 2010. - Diethelm, K.:The analysis of fractional dierential equations, Lecture notes in mathematics, Springer,London,2010.

Similar presentations

OK

Ch 2.1: Linear Equations; Method of Integrating Factors A linear first order ODE has the general form where f is linear in y. Examples include equations.

Ch 2.1: Linear Equations; Method of Integrating Factors A linear first order ODE has the general form where f is linear in y. Examples include equations.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on gunn diode Ppt on mercedes benz india Ppt on indian travel and tourism Ppt on solid dielectrics conference Ppt on duty roster meaning Ppt on water scarcity in the world Free ppt on management of natural resources Ppt on job evaluation Fema ppt on cert training Ppt on unemployment in india free download