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Erschienen in:
Existence of Solutions of Abstract Fractional Impulsive Integrodifferential Equations of Sobolev Type Kapitel lesen Erstes Kapitel lesen

2017 | OriginalPaper | Buchkapitel

Conformable Fractional Wave-Like Equation on a Radial Symmetric Plate

verfasst von : Derya Avcı, Beyza Billur İskender Eroğlu, Necati Özdemir

Erschienen in: Theory and Applications of Non-integer Order Systems

Verlag: Springer International Publishing

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Abstract

The generalization of physical processes by using local or nonlocalfractional operators has been an attractive research topic over the last decade. Fractionalization of integer order models gives quite reality to mathematical descriptions so that one should obtain the sub/super behaviors of real world problems. In this article, we are motivated to formulate a wave-like equation in terms of the left sequential conformable fractional derivative on a radial plate and also discuss on the differences among the statements of classical, existing fractional and conformable fractional wave equations.

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Vorheriges Kapitel Mean Square Stability of Discrete-Time Fractional Order Systems With Multiplicative Noise
Nächstes Kapitel Reconstruction Robin Boundary Condition in the Heat Conduction Inverse Problem of Fractional Order
Literatur
1.
2.
Povstenko, Y.: Linear Fractional Diffusion-Wave Equation for Scientists and Engineers. Springer, Switzerland (2015)CrossRefMATH
3.
Özdemir, N., Karadeniz, D.: Fractional diffusion-wave problem in cylindrical coordinates. Phys. Lett. A 372, 5968–5972 (2008)MathSciNetCrossRefMATH
4.
Özdemir, N., Agrawal, O.P., Karadeniz, D., İskender, B.B.: Analysis of an axis-symmetric fractional diffusion-wave problem. J. Phys. A Math. Theor. 42(35) (2009)
5.
Özdemir, N., Karadeniz, D., İskender, B.B.: Fractional optimal control problems of a distributed systems in cylindrical coordinates. Phys. Lett. A 373, 221–226 (2009)MathSciNetCrossRefMATH
6.
Özdemir, N., İskender, B.B.: Fractional order control of fractional diffusion systems subject to input hysteresis. J. Comput. Nonlinear Dyn. 5(2), 5 (2010)CrossRef
7.
Evirgen, F., Özdemir, N.: Multistage adomian decomposition method for solving NLP problems over a nonlinear fractional dynamical system. J. Comput. Nonlin. Dyn. 6(2), 6 (2011)CrossRef
8.
Samko, S.G., Kilbas, A.A., Marichev, O.I.: Fractional Integrals and Derivatives Theory and Applications. Gordon & Breach, Amsterdam (1993)MATH
9.
Podlubny, I.: Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications. Academic Press, San Diego (1998)MATH
10.
Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. Elsevier, Amsterdam (2006)MATH
11.
Gorenflo, R.: Fractional calculus: some numerical methods. In: Fractals and Fractional Calculus in Continuum Mechanics, pp. 277–290. Springer, New York (1997)
12.
Diethelm, K., Ford, N.J., Freed, A.D., Luchko, Y.: Algorithms for the fractional calculus: a selection of numerical methods. Comput. Methods Appl. Mech. Engrg. 194, 743–773 (2005)MathSciNetCrossRefMATH
13.
Baleanu, D., Diethelm, K., Scalas, E., Trujillo, J.J.: Fractional Calculus: Models and Numerical Methods. Series on Complexity, Nonlinearity and Chaos, vol. 3. World Scientific Publishing, Singapore (2012)CrossRefMATH
14.
Li, C., Zeng, F.: Numerical Methods for Fractional Calculus. CRC Press, New York (2015)MATH
15.
Guo, B., Pu, X., Huang, F.: Fractional Partial Differential Equations and their Numerical Solutions. World Scientific Publishing, Singapore (2015)CrossRefMATH
16.
Atanackovic, T.M., Pipilovic, S., Stankovic, B., Zorica, D.: Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles. Wiley, London (2014)CrossRefMATH
17.
Hristov, J.: Diffusion models with weakly singular kernels in the fading memories: how the integral-balance method can be applied? Therm. Sci. 19(3), 947–957 (2015)MathSciNetCrossRef
18.
Hristov, J.: Double integral-balance method to the fractional subdiffusion equation: approximate solutions, optimization problems to be resolved and numerical simulations. J. Vib. Control (2015)
19.
Yang, X.J., Baleanu, D., Srivastava, H.M.: Local Fractional Integral Transforms and Their Applications. Elsevier, London (2015)MATH
20.
Atangana, A.: Derivative with a New Parameter: Theory, Methods and Applications. Elsevier, London (2015)MATH
21.
22.
Khalil, R., Al Horani, M., Yousef, A., Sababheh, M.: A new definition of fractional derivative. J. Comput. Appl. Math. 264, 65–70 (2014)MathSciNetCrossRefMATH
23.
24.
Atangana, A., Baleanu, D., Alsaedi, A.: New properties of conformable derivative. Open Math. 13, 889–898 (2015)MathSciNetCrossRef
25.
Abu Hammad, I., Khalil, R.: Conformable fractional heat differential equation. Int. J Pure Appl. Math. 94(2), 215–221 (2014)CrossRefMATH
26.
Abu Hammad, I., Khalil, R.: Fractional fourier series with applications. Am. J. Comput. Appl. Math. 4(6), 187–191 (2014)MATH
27.
Çenesiz, Y., Kurt, A.: The solution of time fractional heat equation with new fractional derivative definition. In: 8th International Conference on Applied Mathematics, Simulation, Modelling (ASM 2014), pp. 195–198. WSEAS Press, Florance (2014)
28.
Çenesiz, Y., Kurt, A.: The new solution of time fractional wave equation with conformable fractional derivative definition. J. New Theor. 7, 79–85 (2015)MATH
29.
Çenesiz, Y., Kurt, A., Tasbozan, O.: On the solution of burgers equation with the new fractional derivative. Open Phys. 13(1), 355–360 (2015)
30.
Khalil, R., Abu-Shaab, H.: Solution of some conformable fractional differential equations. Int. J. Pure Appl. Math. 103(4), 667–673 (2015)CrossRef
31.
Zheng, A., Feng, Y., Wang, W.: The Hyers-Ulam stability of the conformable fractional differential equation. Math. Aeterna 5(3), 485–492 (2015)
32.
Neamaty, A., Agheli, B., Darzi, R.: On the determination of the eigenvalues for airy fractional differential equation with turning point. Transylvanian J. Math. Mech. 7(2), 149–153 (2015)MathSciNetMATH
33.
Iyiola, O.S., Ojo, G.O.: On The analytical solution of Fornberg–Whitham equation with the new fractional derivative. Pramana 85(4), 567–575 (2015)CrossRef
34.
Eslami, M., Rezazadeh, H.: The first integral method for Wu-Zhang system with conformable time-fractional derivative. Calcolo, 1–11 (2015)
35.
Benkhettou, N., Hassani, S., Torres, D.F.M.: A conformable fractional calculus on arbitrary time scales. J. King Saud Univ. Sci. 28(1), 93–98 (2016)CrossRef
36.
Iyiola, O.S., Nwaeza, E.R.: Some new results on the new conformable fractional calculus with application using D’Alambert approach. Progr. Fract. Differ. Appl. 2(2), 1–7 (2016)CrossRef
37.
Wang, L.-L., Fu, J.-L.: Non-noether symmetries of Hamiltonian systems with conformable fractional derivatives. Chin. Phys. B 25(1), 7 (2016)
Metadaten
Titel
Conformable Fractional Wave-Like Equation on a Radial Symmetric Plate
verfasst von
Derya Avcı
Beyza Billur İskender Eroğlu
Necati Özdemir
Copyright-Jahr
2017
Buch
Theory and Applications of Non-integer Order Systems

Print ISBN: 978-3-319-45473-3

Electronic ISBN: 978-3-319-45474-0

Copyright-Jahr: 2017

DOI
https://doi.org/10.1007/978-3-319-45474-0_13

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