TY  - JOUR
TI  - A COMPUTATIONAL ALGORITHM for the NUMERICAL SOLUTION of NONLINEAR FRACTIONAL INTEGRAL EQUATIONS
KW  - Integral equations; Nonlinear equations
KW  -  Collocation points; Collocation techniques; Condition; Equation based; Fractional integral equations; Haar wavelet collocation technique; Haar-wavelets; Hyers-Ulam stability; Nonlinear fractional integral equation; Uniqueness and existence
KW  -  Numerical methods
JF  - Fractals
AV  - none
VL  - 30
IS  - 1
N1  - cited By 6
SN  - 0218348X
ID  - scholars17134
Y1  - 2022///
N2  - In this paper, we develop a numerical method for the solution of nonlinear fractional integral equations (NFIEs) based on Haar wavelet collocation technique (HWCT). Under certain conditions, we also prove the uniqueness and existence as well as Hyers-Ulam (HU) stability of the solution. With the help of the mentioned technique, the considered problem is transformed to a system of algebraic equations which is then solved for the required results by using Broyden algorithm. To check the validation and convergence of the proposed technique, some examples are given. For different number of collocation points (CPs), maximum absolute and mean square root errors are computed. The results show that for solving these equations, the HWCT is effective. The convergence rate is also measured for different CPs, which is nearly equal to 2. © 2022 The Author(s).
UR  - https://www.scopus.com/inward/record.uri?eid=2-s2.0-85122038583&doi=10.1142%2fS0218348X22400308&partnerID=40&md5=de80fae757e272efcd385240d7c5d077
A1  - Amin, R.
A1  - Senu, N.
A1  - Hafeez, M.B.
A1  - Arshad, N.I.
A1  - Ahmadian, A.L.I.
A1  - Salahshour, S.
A1  - Sumelka, W.
PB  - World Scientific
ER  -