$Theoretical and numerical aspect of fractional differential equations with purely integral conditions$
QR Code

QR Code

Theoretical and numerical aspect of fractional differential equations with purely integral conditions

In this paper, we are interested in the study of a Caputo time fractional advection–diffusion equation with nonhomogeneous boundary conditions of integral types ∫10v(x,t)dx and ∫10xnv(x,t)dx. The existence and uniqueness of the given problem’s solution is proved using the method of the energy inequa...

Full description

Bibliographic Details
Main Authors:	Brahimi, Saadoune, Merad, Ahcene, Kilicman, Adem
Format:	Article
Language:	English
Published:	MDPI 2021
Online Access:	http://psasir.upm.edu.my/id/eprint/95549/ http://psasir.upm.edu.my/id/eprint/95549/1/Theoretical%20and%20Numerical%20Aspect.pdf

Similar Items

Numerical solutions of fractional differential equations by using fractional explicit Adams method
by: Zabidi, Nur Amirah, et al.
Published: (2020)

Numerical solution of fractional differential equations with Caputo derivative by using numerical fractional predict-correct technique
by: Zabidi, Nur Amirah, et al.
Published: (2022)

Numerical methods for fractional order singular partial differential equations with variable coefficients
by: Elbeleze, Asma Ali, et al.
Published: (2014)

Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations
by: Singh, Jagdev, et al.
Published: (2014)

On resonant mixed Caputo fractional differential equations
by: Lakoud, Assia Guezane, et al.
Published: (2020)

Sufficient conditions on existence of solution for nonlinear fractional iterative integral equation
by: Damag, Faten H. M., et al.
Published: (2017)

Theoretical and numerical studies of fractional Volterra-Fredholm integro-differential equations in Banach space
by: AlSa'di, Kawthar, et al.
Published: (2024)

On simple iterative fractional order differential equations
by: Damag, Faten Hasan Mohammed, et al.
Published: (2016)

Combination of integral and projected differential transform methods for time-fractional gas dynamics equations
by: Kilicman, Adem, et al.
Published: (2018)

Some solution of the fractional iterative integro-differential equations
by: Kilicman, Adem, et al.
Published: (2018)

Integral transforms and partial differential equations
by: Kilicman, Adem, et al.
Published: (2009)

Fractional variational iteration method and its application to fractional partial differential equation
by: Elbeleze, Asma Ali, et al.
Published: (2013)

Biological experiments based on fractional integral equations
by: Kilicman, Adem, et al.
Published: (2018)

Solving fractional partial differential equations with corrected Fourier series method
by: Zainal, Nor Hafizah, et al.
Published: (2014)

On a new integral transform and differential equations.
by: Kilicman, Adem, et al.
Published: (2010)

Application of homotopy perturbation method for fractional partial differential equations
by: Elbeleze, Asma Ali, et al.
Published: (2014)

Approximate solution of integro-differential equation of fractional (arbitrary) order
by: A. Elbeleze, Asma, et al.
Published: (2016)

A note on integral transform and system of differential equations
by: Eltayeb, Hassan, et al.
Published: (2009)

Approximate solutions for non-linear iterative fractional differential equations
by: Damag, Faten Hasan Mohammed, et al.
Published: (2016)

Positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
by: Li, H., et al.
Published: (2015)

Fractional Riccati equation and its applications to rough Heston model using numerical methods
by: Siow, Woon Jeng, et al.
Published: (2020)

Mixed solutions of monotone iterative technique for hybrid fractional differential equations
by: Damag, Faten H., et al.
Published: (2019)

A note on integral transforms and partial differential equations
by: Kilicman, Adem, et al.
Published: (2010)

A note on integral transforms and differential equations
by: Kilicman, Adem, et al.
Published: (2012)

Comparing linear and nonlinear differential equations of differential transformation method by other numerical methods
by: Che Hussin, Che Haziqah, et al.
Published: (2013)

Solutions of linear multi-dimensional fractional order Volterra integral equations
by: Ahmood, Wasan Ajeel, et al.
Published: (2016)

Numerical solution of fractional partial differential equations by spectral methods
by: Kanwal, Afshan
Published: (2019)

Numerical solution of singularly perturbed delay differential equations with layer behavior
by: Ghomanjani, Fateme, et al.
Published: (2014)

Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
by: Liu, Lishan, et al.
Published: (2016)

Note on the convergence analysis of homotopy perturbation method for fractional partial differential equations
by: Elbeleze, Asma Ali, et al.
Published: (2014)

Numerical study of two-dimensional Volterra integral equations by RDTM and comparison with DTM
by: Abazari, Reza, et al.
Published: (2013)

Convergence of variational iteration method for solving singular partial differential equations of fractional order
by: Elbeleze, Asma Ali, et al.
Published: (2014)

A 2nd-order one-point numerical integration scheme for fractional ordinary differential equations
by: Li, W., et al.
Published: (2017)

Wavelets operational methods for fractional differential equations and systems of fractional differential equations
by: Isah, Abdulnasir
Published: (2017)

Existence of positive solutions for a singular nonlinear fractional differential equation with integral boundary conditions involving fractional derivatives
by: Liu, X., et al.
Published: (2018)

Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition
by: Zhang, X., et al.
Published: (2018)

Uniqueness of positive solutions for the singular fractional differential equations involving integral boundary value conditions
by: Min, D., et al.
Published: (2018)

Positive solutions for nonlinear fractional differential equations with boundary conditions involving Riemann-Stieltjes integrals
by: Jiang, J., et al.
Published: (2012)

Theoretical advancement in dengue transmission model in Malaysia using fractional order differential equations
by: Hamdan, Nur Izzati
Published: (2020)

Numerical Solution of Fractional Pantograph Differential Equation via Fractional Taylor Series Collocation Method
by: Bilal, Muhammad, et al.
Published: (2020)