A NUMERICAL METHOD FOR SOLVING A SYSTEM OF VOLTERRA INTEGRAL EQUATIONS BASED ON FIXED POINT METHOD

2018 ◽  
Vol 107 (2) ◽  
pp. 499-509
Author(s):  
Parvin Torabi
Keyword(s):  
Fixed Point ◽  
Numerical Method ◽  
Integral Equations ◽  
Fixed Point Method ◽  
Volterra Integral Equations ◽  
Point Method

scholarly journals Ulam’s type stability of Hadamard type fractional integral equations

Filomat ◽  
2014 ◽  
Vol 28 (7) ◽  
pp. 1323-1331 ◽  
Author(s):  
Jinrong Wang ◽  
Zeng Lin
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Fractional Integral ◽  
Fixed Point Method ◽  
Point Method ◽  
Singular Kernel ◽  
Compact Interval ◽  
Ulam’S Type Stability ◽  
Stability Results

In this paper, we further investigates Ulam?s type stability of Hadamard type fractional integral equations on a compact interval. We explore new conditions and develop valuable techniques to overcome the difficult from the Hadamard type singular kernel and extend the previous Ulam?s type stability results in [27] from [1, b] to [a, b] with a > 0 via fixed point method. Finally, two examples are given to illustrate our results.

scholarly journals Fixed point method and its improvement for the system of Volterra-Fredholm integral equations of the second kind

MATEMATIKA ◽  
2017 ◽  
Vol 33 (2) ◽  
pp. 191
Author(s):  
Talaat Ismahel Hasan ◽  
Shaharuddin Salleh
Keyword(s):  
Fixed Point ◽  
Exact Solutions ◽  
Integral Equations ◽  
Fixed Point Method ◽  
Point Method ◽  
Fredholm Integral Equations ◽  
Numerical Examples ◽  
New Algorithms

In this paper, we consider the system of Volterra-Fredholm integral equations of the second kind (SVFI-2). We proposed fixed point method (FPM) to solve SVFI-2 and improved fixed point method (IFPM) for solving the problem. In addition, a few theorems and two new algorithms are introduced.  They are supported by numerical examples and simulations using Matlab. The results are reasonably good when compared with the exact solutions.

A fixed point approach to the stability of sextic Lie *-derivations

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4933-4944
Author(s):  
Dongseung Kang ◽  
Heejeong Koh
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
General Solution ◽  
Single Case ◽  
Fixed Point Method ◽  
Point Method ◽  
Fixed Point Approach ◽  
The Stability ◽  
The Given ◽  
Lie Derivations

We obtain a general solution of the sextic functional equation f (ax+by)+ f (ax-by)+ f (bx+ay)+ f (bx-ay) = (ab)2(a2 + b2)[f(x+y)+f(x-y)] + 2(a2-b2)(a4-b4)[f(x)+f(y)] and investigate the stability of sextic Lie *-derivations associated with the given functional equation via fixed point method. Also, we present a counterexample for a single case.

scholarly journals Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Nguyen Ngoc Phung ◽  
Bao Quoc Ta ◽  
Ho Vu
Keyword(s):  
Fixed Point ◽  
Successive Approximation ◽  
Integrodifferential Equation ◽  
Approximation Method ◽  
Fixed Point Method ◽  
Integrodifferential Equations ◽  
Point Method ◽  
Successive Approximation Method ◽  
Rassias Stability

In this paper, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.

scholarly journals Homomorphisms and derivations in C∗-ternary algebras via fixed point method

2012 ◽  
Vol 2012 (1) ◽  
pp. 137 ◽  
Author(s):  
HM Kenari ◽  
Reza Saadati ◽  
Choonkil Park
Keyword(s):  
Fixed Point ◽  
Fixed Point Method ◽  
Point Method ◽  
Ternary Algebras
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