A possible generalization of acoustic wave equation using the concept of perturbed derivative order
The standard version of acoustic wave equation is modified using the concept of the generalized Riemann-Liouville fractional order derivative. Some properties of the generalized Riemann-Liouville fractional derivative approximation are presented. Some theorems are generalized. The modified equation...
| Main Authors: | Atangana, Abdon, Kilicman, Adem |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
Hindawi Publishing Corporation
2013
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/30129/ http://psasir.upm.edu.my/id/eprint/30129/1/A%20possible%20generalization%20of%20acoustic%20wave%20equation%20using%20the%20concept%20of%20perturbed%20derivative%20order.pdf |
Similar Items
On the generalized mass transport equation to the concept of variable fractional derivative
by: Atangana, Abdon, et al.
Published: (2014)
by: Atangana, Abdon, et al.
Published: (2014)
Analytical solutions of the space-time fractional derivative of advection dispersion equation
by: Atangana, Abdon, et al.
Published: (2013)
by: Atangana, Abdon, et al.
Published: (2013)
The use of Sumudu transform for solving certain nonlinear fractional heat-like equations
by: Atangana, Abdon, et al.
Published: (2013)
by: Atangana, Abdon, et al.
Published: (2013)
Analytical solutions of boundary values problem of 2D and 3D Poisson and biharmonic equations by homotopy decomposition method
by: Atangana, Abdon, et al.
Published: (2013)
by: Atangana, Abdon, et al.
Published: (2013)
A novel integral operator transform and its application to some FODE and FPDE with some kind of singularities
by: Atangana, Abdon, et al.
Published: (2013)
by: Atangana, Abdon, et al.
Published: (2013)
Application of homotopy perturbation sumudu transform
method for solving heat and wave-like equations
by: Singh, Jagdev, et al.
Published: (2013)
by: Singh, Jagdev, et al.
Published: (2013)
An application on the second-order generalized difference equations
by: Maria Susai Manuel, Mariasebastin, et al.
Published: (2013)
by: Maria Susai Manuel, Mariasebastin, et al.
Published: (2013)
Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform
by: Singh, Jagdev, et al.
Published: (2013)
by: Singh, Jagdev, et al.
Published: (2013)
Application of homotopy perturbation method for fractional partial differential equations
by: Elbeleze, Asma Ali, et al.
Published: (2014)
by: Elbeleze, Asma Ali, et al.
Published: (2014)
The approximate solution of fractional Fredholm integrodifferential equations by variational iteration and homotopy perturbation methods
by: Kadem, Abdelouahab, et al.
Published: (2012)
by: Kadem, Abdelouahab, et al.
Published: (2012)
Note on the wave equation and tensor products.
by: Kilicman, Adem, et al.
Published: (2011)
by: Kilicman, Adem, et al.
Published: (2011)
Numerical solution of singularly perturbed delay differential equations with layer behavior
by: Ghomanjani, Fateme, et al.
Published: (2014)
by: Ghomanjani, Fateme, et al.
Published: (2014)
Oscillation criteria for third order neutral generalized difference equations with distributed delay
by: Reddy, P. Venkata Mohan, et al.
Published: (2019)
by: Reddy, P. Venkata Mohan, et al.
Published: (2019)
Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives
by: Zhang, X., et al.
Published: (2012)
by: Zhang, X., et al.
Published: (2012)
Note on the convergence analysis of homotopy perturbation method for fractional partial differential equations
by: Elbeleze, Asma Ali, et al.
Published: (2014)
by: Elbeleze, Asma Ali, et al.
Published: (2014)
Homotopy perturbation method for fractional black-scholes european option pricing equations using Sumudu transform
by: Elbeleze, Asma Ali, et al.
Published: (2013)
by: Elbeleze, Asma Ali, et al.
Published: (2013)
Nonlocal fractional order differential equations with changing-sign singular perturbation
by: Zhang, Xinguang, et al.
Published: (2013)
by: Zhang, Xinguang, et al.
Published: (2013)
Solitary wave solutions of the boussinesq equation and its improved form
by: Abazari, Reza, et al.
Published: (2013)
by: Abazari, Reza, et al.
Published: (2013)
On simple iterative fractional order differential equations
by: Damag, Faten Hasan Mohammed, et al.
Published: (2016)
by: Damag, Faten Hasan Mohammed, et al.
Published: (2016)
Perturbation and asymptotic methods in mechanics and waves
by: Talbot, Frances Mary
Published: (1982)
by: Talbot, Frances Mary
Published: (1982)
Continuity of second-order adjacent derivatives for weak perturbation maps in vector optimization
by: Wang, Q., et al.
Published: (2011)
by: Wang, Q., et al.
Published: (2011)
Approximation solution for system of generalized ordered variational inclusions with operator in ordered Banach space
by: Mohd. Sarfaraz, et al.
Published: (2017)
by: Mohd. Sarfaraz, et al.
Published: (2017)
A note on solutions of wave, Laplace’s and heat equations with convolution terms by using a double Laplace transform
by: Eltayeb, Hassan, et al.
Published: (2008)
by: Eltayeb, Hassan, et al.
Published: (2008)
A generalized expansion method for nonlinear wave equations
by: Lin, Qun, et al.
Published: (2009)
by: Lin, Qun, et al.
Published: (2009)
On a generalization of the initial-boundary problem for the vibrating string equation
by: Amanov, Djumaklich, et al.
Published: (2019)
by: Amanov, Djumaklich, et al.
Published: (2019)
Bezier curves method for fourth-order integrodifferential equations
by: Ghomanjani, Fateme, et al.
Published: (2013)
by: Ghomanjani, Fateme, et al.
Published: (2013)
Solutions of linear multi-dimensional fractional order Volterra integral equations
by: Ahmood, Wasan Ajeel, et al.
Published: (2016)
by: Ahmood, Wasan Ajeel, et al.
Published: (2016)
m-polar generalization of fuzzy T-ordering relations: an approach to group decision making
by: Khameneh, Azadeh Zahedi, et al.
Published: (2020)
by: Khameneh, Azadeh Zahedi, et al.
Published: (2020)
Note on the numerical solutions of the general matrix convolution equations by using the iterative methods and box convolution product
by: Kilicman, Adem, et al.
Published: (2010)
by: Kilicman, Adem, et al.
Published: (2010)
Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m
by: Eshkuvatov, Zainidin K., et al.
Published: (2017)
by: Eshkuvatov, Zainidin K., et al.
Published: (2017)
Anisotropic Burgers equation with an anisotropic perturbation
by: Li, Ping
Published: (2011)
by: Li, Ping
Published: (2011)
Implicit block methods with extra derivatives for solving general higher-order ordinary differential equations with applications
by: M., Allogmany Reem Ayed
Published: (2021)
by: M., Allogmany Reem Ayed
Published: (2021)
Travelling wave solution to a generalized Kuramoto-Sivashinsky equation
by: Mohamad, Mohd. Nor
Published: (1991)
by: Mohamad, Mohd. Nor
Published: (1991)
Some applications of the multi-dimensional fractional order for the Riemann-Liouville derivative
by: Ahmood, Wasan Ajeel, et al.
Published: (2016)
by: Ahmood, Wasan Ajeel, et al.
Published: (2016)
On existence and uniqueness of generalized solutions for a mixed-type differential equation.
by: Elzaki, Tarig M., et al.
Published: (2010)
by: Elzaki, Tarig M., et al.
Published: (2010)
Approximate solution of integro-differential equation of fractional (arbitrary) order
by: A. Elbeleze, Asma, et al.
Published: (2016)
by: A. Elbeleze, Asma, et al.
Published: (2016)
Homotopy-perturbation method for heat transfer equations
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010)
Oscillation of solutions of some generalized nonlinear α-difference equations
by: Manuel , Mariasebastin Maria Susai, et al.
Published: (2014)
by: Manuel , Mariasebastin Maria Susai, et al.
Published: (2014)
On boundedness and compactness of a generalized Srivastava-Owa fractional derivative operator
by: Abdulnaby, Zainab E., et al.
Published: (2018)
by: Abdulnaby, Zainab E., et al.
Published: (2018)
Solitary wave solutions with compact support for the nonlinear dispersive K (m,n) equations by using approximate analytical method
by: Che Hussin, Che Haziqah, et al.
Published: (2021)
by: Che Hussin, Che Haziqah, et al.
Published: (2021)
Similar Items
-
On the generalized mass transport equation to the concept of variable fractional derivative
by: Atangana, Abdon, et al.
Published: (2014) -
Analytical solutions of the space-time fractional derivative of advection dispersion equation
by: Atangana, Abdon, et al.
Published: (2013) -
The use of Sumudu transform for solving certain nonlinear fractional heat-like equations
by: Atangana, Abdon, et al.
Published: (2013) -
Analytical solutions of boundary values problem of 2D and 3D Poisson and biharmonic equations by homotopy decomposition method
by: Atangana, Abdon, et al.
Published: (2013) -
A novel integral operator transform and its application to some FODE and FPDE with some kind of singularities
by: Atangana, Abdon, et al.
Published: (2013)