$Theoretical and numerical studies of fractional Volterra-Fredholm integro-differential equations in Banach space$
QR Code

QR Code

Theoretical and numerical studies of fractional Volterra-Fredholm integro-differential equations in Banach space

This paper examines the theoretical, analytical, and approximate solutions of the Caputo fractional Volterra-Fredholm integro-differential equations (FVFIDEs). Utilizing Schaefer’s fixedpoint theorem, the Banach contraction theorem and the Arzelà-Ascoli theorem, we establish some conditions that...

Full description

Bibliographic Details
Main Authors:	AlSa'di, Kawthar, Nik Long, N. M. A., Eshkuvatov, Z. K.
Format:	Article
Language:	English
Published:	Universiti Putra Malaysia 2024
Subjects:	Mathematics
Online Access:	http://psasir.upm.edu.my/id/eprint/114421/ http://psasir.upm.edu.my/id/eprint/114421/1/114421.pdf

Similar Items

Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m
by: Eshkuvatov, Zainidin K., et al.
Published: (2017)

Using hybrid of block-pulse functions and bernoulli polynomials to solve fractional fredholm-volterra integro-differential equations
by: Saadatmandi, Abbas, et al.
Published: (2020)

Solving fractional Fredholm integro-differential equations by Laguerre polynomials
by: Daşcioğlu, Ayşegül, et al.
Published: (2019)

Numerical approach for delay volterra integro-differential equation
by: Nur Auni Baharum,, et al.
Published: (2022)

Numerical approach for delay Volterra integro-differential equation
by: Baharum, Nur Auni, et al.
Published: (2022)

Numerical solution on neutral delay Volterra integro-differential equation
by: Ismail, Nur Inshirah Naqiah, et al.
Published: (2024)

Numerical solution of nonlinear fredholm integro-differential equations using spectral homotopy analysis method
by: Atabakan, Z. Pashazadeh, et al.
Published: (2013)

Mild solution of semilinear impulsive integro-differential evolution equation in Banach spaces
by: Hao, X., et al.
Published: (2017)

A new numerical scheme for solving system of Volterra integro-diﬀerential equation
by: Loh, Jian Rong, et al.
Published: (2017)

Nonlinear the first kind Fredholm integro-differential first-order equation with degenerate kernel and nonlinear maxima
by: Yuldashev, T. K., et al.
Published: (2022)

Numerical solution of fredholm fractional integro-differential equation with right-sided caputo’s derivative using bernoulli polynomials operational matrix of fractional derivative
by: Loh, Jian Rong, et al.
Published: (2019)

Numerical solution of Volterra Integro-Differential Equations by hybrid block with quadrature rules method
by: Janodi, Mohd Razaie, et al.
Published: (2020)

Multistep block method for solving Volterra integro-differential equations
by: Mohamed, Nurul Atikah, et al.
Published: (2016)

An Iterative Solution for Second Order Linear Fredholm Integro-Differential Equations
by: Aruchunan, Elayaraja, et al.
Published: (2014)

An iterative solution for second order linear Fredholm integro-differential equations
by: Aruchunan, Elayaraja, et al.
Published: (2014)

Application of the quadrature-difference method for solving Fredholm integro-differential equations
by: Jalius, Chriscella, et al.
Published: (2015)

ADM for solving linear second-order fredholm integro- differential equation
by: Karim, Mohd F., et al.
Published: (2018)

ADM for solving linear second-order fredholm integro- differential equation
by: Karim, Mohd F., et al.
Published: (2018)

Numerical Solution of First-Order Linear Fredholm Integro-Differential Equations using Conjugate Gradient Method
by: Aruchunan, Elayaraja, et al.
Published: (2009)

Numerical solutions of linear fredholm integro-differential equations of the second kind using quadrature-difference methods
by: Jalius, Chriscella
Published: (2016)

Fuzzy Volterra integro-differential equations using general linear method
by: Abdul Majid, Zanariah, et al.
Published: (2019)

One-step block method for solving Volterra integro-differential equations
by: Mohamed, Nurul Atikah, et al.
Published: (2014)

Boole's strategy in multistep block method for Volterra integro-differential equation
by: Baharum, N. A., et al.
Published: (2022)

Numerical Solution of Second-Order Linear Fredholm Integro-Differential Equation Using Generalized Minimal Residual Method
by: Aruchunan, Elayaraja, et al.
Published: (2010)

Numerical Solution of First-Order Linear Fredholm Integro-Differential Equation Generalized Minimal Residual (GMRES) Method
by: Aruchunan, Elayaraja, et al.
Published: (2009)

Numerical Solution of Second-Order Linear Fredholm Integro-Differential Equation using Genaralized Minimal Residual (GMRES) Method
by: Aruchunan, Elayaraja, et al.
Published: (2009)

The New Variants of Modified Weighted Mean Iterative Methods for Fredholm Integro-Differential Equations
by: Aruchunan, Elayaraja
Published: (2016)

Application of quarter-sweep iteration for first order linear Fredholm integro-differential equations
by: Aruchunan, Elayaraja, et al.
Published: (2013)

Spectral homotopy analysis method for solving nonlinear Volterra integro differential equations
by: Atabakan, Zohreh Pashazadeh, et al.
Published: (2014)

Multistep block methods for solving volterra integro-differential equations of second kind
by: Mohamed, Nurul Atikah
Published: (2016)

Diagonally multistep block method for solving Volterra integro-differential equation with delay
by: Baharum, Nur Auni, et al.
Published: (2023)

A New Algorithm of Geometric Mean for Solving High-Order Fredholm Integro-differential Equations
by: Aruchunan, E., et al.
Published: (2016)

Diagonally implicit multistep block method for solving delay volterra integro-differential equation
by: Baharum, Nur Auni
Published: (2023)

Numerical solution of nonlinear fredholm and volterra integrals by Newton–Kantorovich and Haar wavelets methods
by: Mohammad Hasan, Abdul Sathar, et al.
Published: (2020)

Numerical solution of nonlinear Fredholm and Volterra integrals by newton-Kantorovich and Haar wavelets methods
by: Abdul Sathar, Mohammad Hasan, et al.
Published: (2020)

Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations
by: Aruchunan, Elayaraja, et al.
Published: (2011)

Half-Sweep Conjugate Gradient method for solving first order linear Fredholm integro-differential equations
by: Aruchunan, Elayaraja, et al.
Published: (2010)

Half-sweep Conjugate Gradient Method for Solving First Order Linear Fredholm Integro-differential Equations
by: Aruchunan, Elayaraja, et al.
Published: (2011)

Fifth order multistep block method for solving volterra integro-differential equations of second kind
by: Zanariah Abdul Majid,, et al.
Published: (2019)

Fifth order multistep block method for solving Volterra integro-differential equations of second kind
by: Abdul Majid, Zanariah, et al.
Published: (2019)