International Journal of Mathematics And its Applications

7-32

Authors: R. A. Mundewadi and B. A. Mundewadi

Biorthogonal spline wavelet method is proposed for the numerical solution of Linear and nonlinear integral and integro-differential equations. Biorthogonal spline wavelet filter coefficients have the prolongation and restriction operators. The performance of the proposed method is better than the existing ones in terms of super convergence with low computational time. Some of the test problems are demonstrated for the applicability and efficiency of the scheme.

41-47

Authors: S. G. Shete and R. G. Metkar

In this research paper the existence of minimal and maximal solution for Nonlinear Volterra type random integral equations is proved under some contraction, continuity and monotonicity conditions.

55-67

Authors: Kanchan Barman and Subhashish Biswas

In the paper, we introduce a new concept of soft contraction of Wardoski type which is a generalization of Banach contractive condition and prove a soft fixed point theorem which generalizes the Banach contraction principle in different ways. We also give some examples which show the validity of our results.

77-88

Authors: E. Azuaba, J. M. Orverem, Y. M. Kura and U. Jnr. Dahiru

An $S-L-B-I-Q-T$ epidemic mathematical model incorporating drug therapy and treatment is investigated for malaria disease. We obtained the Disease Free Equilibrium (DFE) points and compute the basic reproduction number ($R_{0} $). The local and global stability of the Disease Free Equilibrium was analyzed using Jacobian matrix stability techniques and Lyapunov function respectively. The local and global stability was asymptotically stable if $R_{0} <1$ and $R_{0} \le 1$ respectively. Sensitivity analysis of $R_{0} $ for drug therapy and treatment showed that $R_{0} $ is strictly a decreasing function of $\sigma _{3} ,\theta ,\nu ,\tau $ and $p$. The numerical simulation of $R_{0} $ and control parameters of the model were presented graphically. The findings of this study strongly suggest a combination of effective drug therapy and treatment as a crucial strategy to control the malaria disease.

95-99

Authors: Ram Milan Singh

In this paper, we generalized the method to calculating the square root of matrix whose characteristic is quadratic and how to Cayley-Hamilton theorem may be used to determine the formula for all square root of matrix whose order is $2\times2$.