A computational algorithm for the numerical solution of nonlinear fractional integral equations

In this paper, we develop a numerical method for the solution of nonlinear fractional integralequations (NFIEs) based on Haar wavelet collocation technique (HWCT). Under certain con-ditions, we also prove the uniqueness and existence as well as Hyers–Ulam (HU) stability of thesolution. With the help...

وصف كامل

محفوظ في:

التفاصيل البيبلوغرافية
المؤلفون الرئيسيون:	Amin, Rohul, Senu, Norazak, Hafeez, Muhammad Bilal, Arshad, Noreen Izza, Ahmadian, Ali, Salahshour, Soheil, Sumelka, Wojciech
التنسيق:	مقال
منشور في:	World Scientific Publishing 2021
الوصول للمادة أونلاين:	http://psasir.upm.edu.my/id/eprint/100104/ https://www.worldscientific.com/doi/abs/10.1142/S0218348X22400308
الوسوم:	إضافة وسم لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!

مواد مشابهة

A COMPUTATIONAL ALGORITHM for the NUMERICAL SOLUTION of NONLINEAR FRACTIONAL INTEGRAL EQUATIONS
بواسطة: Amin, R., وآخرون
منشور في: (2022)

$On a numerical solution for fuzzy fractional differential equation using an operational matrix method$

On a numerical solution for fuzzy fractional differential equation using an operational matrix method
بواسطة: Ahmadian, Ali, وآخرون
منشور في: (2015)

$On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem$

On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem
بواسطة: Salahshour, Soheil, وآخرون
منشور في: (2015)

$Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty$

Toward the existence and uniqueness of solutions for fractional integro-differential equations under uncertainty
بواسطة: Hosseini, Ali Ahmadian, وآخرون
منشور في: (2016)

$A new fractional derivative for differential equation of fractional order under interval uncertainty$

A new fractional derivative for differential equation of fractional order under interval uncertainty
بواسطة: Salahshour, Soheil, وآخرون
منشور في: (2016)

$An efficient operation matrix method for solving fractal–fractional differential equations with generalized Caputo-type fractional–fractal derivative$

An efficient operation matrix method for solving fractal–fractional differential equations with generalized Caputo-type fractional–fractal derivative
بواسطة: A.M., Shloof, وآخرون
منشور في: (2021)

$A fractional multistep method for solving a class of linear fractional differential equations under uncertainty$

A fractional multistep method for solving a class of linear fractional differential equations under uncertainty
بواسطة: Ahmadian, Ali, وآخرون
منشور في: (2015)

$Numerical solution of fuzzy fractional pharmacokinetics model arising from drug assimilation into the bloodstream$

Numerical solution of fuzzy fractional pharmacokinetics model arising from drug assimilation into the bloodstream
بواسطة: Ahmadian, Ali, وآخرون
منشور في: (2013)

$A robust operational matrix of nonsingular derivative to solve fractional variable-order differential equations$

A robust operational matrix of nonsingular derivative to solve fractional variable-order differential equations
بواسطة: Basim, Mays, وآخرون
منشور في: (2022)

$Efficient solutions to time-fractional telegraph equations with Chebyshev neural networks$

Efficient solutions to time-fractional telegraph equations with Chebyshev neural networks
بواسطة: Ali, Amina Hassan, وآخرون
منشور في: (2024)

$Modeling the dynamics of COVID-19 using fractal-fractional operator with a case study$

Modeling the dynamics of COVID-19 using fractal-fractional operator with a case study
بواسطة: Zhou, Jian Cun, وآخرون
منشور في: (2022)

$A new modern scheme for solving fractal–fractional differential equations based on deep feedforward neural network with multiple hidden layer$

A new modern scheme for solving fractal–fractional differential equations based on deep feedforward neural network with multiple hidden layer
بواسطة: Admon, Mohd Rashid, وآخرون
منشور في: (2024)

Numerical solutions of fuzzy differential equations by an efficient Runge–Kutta method with generalized differentiability
بواسطة: Ahmadian, Ali, وآخرون
منشور في: (2018)

Numerical solution of second-order fuzzy differential equation using improved Runge-Kutta Nystrom method
بواسطة: Rabiei, Faranak, وآخرون
منشور في: (2013)

$Numerical simulation of variable-order fractal-fractional delay differential equations with nonsingular derivative$

Numerical simulation of variable-order fractal-fractional delay differential equations with nonsingular derivative
بواسطة: Basim, Mays, وآخرون
منشور في: (2023)

Numerical Solution of Fractional Pantograph Differential Equation via Fractional Taylor Series Collocation Method
بواسطة: Bilal, Muhammad, وآخرون
منشور في: (2020)

$Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations$

Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations
بواسطة: Singh, Jagdev, وآخرون
منشور في: (2014)

Nearest interval-valued approximation of interval-valued fuzzy numbers
بواسطة: Ahmadian, Ali, وآخرون
منشور في: (2016)

$Application of fuzzy fractional kinetic equations to modelling of the acid hydrolysis reaction$

Application of fuzzy fractional kinetic equations to modelling of the acid hydrolysis reaction
بواسطة: Ghaemi, Ferial, وآخرون
منشور في: (2013)

$Numerical solution of fractional order delay differential equation via collocation method$

Numerical solution of fractional order delay differential equation via collocation method
بواسطة: Muhammad, Bilal, وآخرون
منشور في: (2019)

A note on “Numerical solutions of fuzzy differential equations by extended Runge–Kutta-like formulae of order 4”
بواسطة: Dizicheh, Ali Karimi, وآخرون
منشور في: (2013)

Numerical solution of integrals and nonlinear integral equations by wavelets
بواسطة: Abdul Sathar, Mohammad Hasan
منشور في: (2016)

Numerical Solution of Nonlinear Reaction–Advection–Diffusion Equation
بواسطة: Singh, Anup, وآخرون
منشور في: (2019)

$Solving fractional variable-order differential equations of the non-singular derivative using Jacobi operational matrix$

Solving fractional variable-order differential equations of the non-singular derivative using Jacobi operational matrix
بواسطة: Basim, M., وآخرون
منشور في: (2023)

$Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense$

Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense
بواسطة: Shloof, A. M., وآخرون
منشور في: (2022)

$Uncertain viscoelastic models with fractional order: a new spectral tau method to study the numerical simulations of the solution$

Uncertain viscoelastic models with fractional order: a new spectral tau method to study the numerical simulations of the solution
بواسطة: Ahmadian, A., وآخرون
منشور في: (2017)

$Numerical solutions of fractional differential equations by using fractional explicit Adams method$

Numerical solutions of fractional differential equations by using fractional explicit Adams method
بواسطة: Zabidi, Nur Amirah, وآخرون
منشور في: (2020)

$Sufficient conditions on existence of solution for nonlinear fractional iterative integral equation$

Sufficient conditions on existence of solution for nonlinear fractional iterative integral equation
بواسطة: Damag, Faten H. M., وآخرون
منشور في: (2017)

$Numerical solution of fractional differential equations with Caputo derivative by using numerical fractional predict-correct technique$

Numerical solution of fractional differential equations with Caputo derivative by using numerical fractional predict-correct technique
بواسطة: Zabidi, Nur Amirah, وآخرون
منشور في: (2022)

$Numerical solution of fractional order advection-reaction diffusion equation$

Numerical solution of fractional order advection-reaction diffusion equation
بواسطة: Das, Subir, وآخرون
منشور في: (2018)

$Numerical solution of fractional partial differential equations by spectral methods$

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

$A new iterative technique for solving fractal-fractional differential equations based on artificial neural network in the new generalized Caputo sense$

A new iterative technique for solving fractal-fractional differential equations based on artificial neural network in the new generalized Caputo sense
بواسطة: Shloof, A. M., وآخرون
منشور في: (2022)