Manuscript Topics

Dynamical systems play vital role in mathematical modeling of various real-world process, phenomenon and procedure. With the help of these systems, we can investigate the concerned process or phenomenon for further analysis including prediction, planning, etc. The aforesaid systems usually are formed in terms of differential, difference or integral or algebraic equations. For fruit full analysis we need to solve such systems either numerically or analytically. Since most of real-world process are modeled in terms of nonlinear equations.  Now to solve the aforesaid systems of nonlinear equations different tools, techniques and methods are using in literature. For analytical results various iterative, perturbation and decomposition methods have been developed. On the other hands each problem cannot be solved analytically therefore various numerical procedures have been established. A detailed issue is needed to cover such topic which will be of high interest of readers.

The main aims and objectives of this special Issue are devoted to collect various articles using different analytical and numerical techniques to solve various dynamical systems. Also, for theoretical analysis the existence theory and stability aspects of various dynamical systems including biological, chemical, dynamical and fluid mechanics models are welcomed. Innovative research and review manuscripts are also welcome In this special issue for publication.

Possible titles include but are not limited to the given:
• Existence theory by using fixed point approach for dynamical systems
• Existence theory using degree theories of topology and Schauder, etc.
• Monotone iterative methods for dynamical systems
• Perturbation and decomposition methods for dynamical systems
• Study of dynamical systems using the concept of fractional calculus
• Numerical and analytical investigations of dynamical systems.
• Dynamical systems under singular and non-singular kernel type derivatives
• Fuzzification of dynamical systems
• Optimal control and sensitivity as well as stability of dynamical systems
• Bifurcation and optimality of dynamical systems
• Matrix approach for dynamical systems
• Investigations of dynamical systems under piecewise equations using fractional calculus
• Study of dynamical systems under stochastic calculus.
• Study of Nonlinear Systems of Volterra Integral Equations and Fredholm Integration equations to Infectious Disease Epidemiology

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