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A Spectral Collocation Method With Piecewise Trigonometric Basis Functions for Nonlinear Volterra–Fredholm İntegral Equations

Amiri, Sadegh; Hajipour, Mojtaba; Baleanu, Dumitru (Elsevier INC, 2020-04-01)

The aim of this paper is to investigate an efficient numerical method based on a novel shifted piecewise cosine basis for solving Volterra–Fredholm integral equations of the second kind. Using operational matrices of ...
Impulsive Fractional Differential Equations with Retardation and Anticipation

Benchohra, Mouffak; Karapınar, Erdal; Lazreg, Jamal Eddine; Salim, Abdelkrim (2023)

This chapter deals with the existence and uniqueness results for a class of impulsive initial and boundary value problems for implicit nonlinear fractional differential equations and k-Generalized ψ -Hilfer fractional ...
New predictor-corrector type iterative methods for solving nonlinear equations

Dinçkal, Çiiğdem (2017)

This paper proposes two new predictor-corrector type iterative methods for finding roots of nonlinear equations. These methods are generated by based on the combination of the two well known Bisection method and ...
On a one-dimensional nonlinear coupled system of equations in the theory of thermo elasticity

Jafarian, A.; Ghaderi, P.; Golmankhaneh, Alireza K.; Baleanu, Dumitru (2013)

The thermoelasticity deals with predicting the thermo mechanical treatment of elastic solids and it is a generalization of the classical theory of elasticity and the theory of thermal conductivity. In this manuscript, the ...

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