Solution of Fractional Differential Equation of Variable Order via S-Iteration | Chapter 6 | Research and Applications Towards Mathematics and Computer Science Vol. 3

 The present phase studies the solvability of the initial profit problem for the variable-order partial differential equating (FDE) involving the Caputo fractional derivative in Banach room. The existence and differentness of the solution of FDE is intentional using the application of the S-redundancy method. Since the study of concerning qualities not quantities properties usually demands the use of differential and basic inequalities, the S-redundancy method contributes evenly to the study of various possessions such as reliance on initial data, the nearness of solutions, and reliance on parameters and functions involved in the kindliness the FDE. Finally, we illustrate our main result through an model.

Author(s) Details:

Haribhau L. Tidke,
Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, India.

Gajanan S. Patil,
Department of Mathematics, PSGVPM's ASC College, Shahada, India.

Please see the link here: https://stm.bookpi.org/RATMCS-V3/article/view/11567

Stability Analysis of Iterative Methods for Solving Nonlinear Algebraic Systems | Chapter 2 | Current Topics on Mathematics and Computer Science Vol. 9

A multidimensional real dynamical analysis of a novel class of iterative approach for approximating the solutions of nonlinear systems of algebraic equations is presented in this chapter. We investigate the behaviour of the multidimensional rational operator associated with the iterative approach, acting on a system of quadratic polynomials of separate and mixed variables, respectively, using well-known discrete dynamic multivariate tools. Some stability results for the proposed class are shown. These findings enable us to identify and avoid family members with poor stability features and chaotic behaviour. To confirm the theoretical and dynamical results, certain numerical tests are presented.

Author (S) Details

Raudys R. Capdevila

Instituto de Matematica Multidisciplinar, Universitat Politecnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain and Dpto de Educacion en Linea, Universidad San Francisco de Quito, Ecuador.

Alicia Cordero

Instituto de Matematica Multidisciplinar, Universitat Politecnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain.

Juan R. Torregrosa

Instituto de Matematica Multidisciplinar, Universitat Politecnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain.

View Book :- https://stm.bookpi.org/CTMCS-V9/article/view/3634