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Title Optimization method for numerical simulation of fractal-fractional pantograph differential equation
Type Presentation
Keywords Fractal-fractional integral operators, Genocchi polynomials, Optimization method, Pantograph differential equation.
Abstract In the current study, we design a new computational method for solving fractal-fractional pantograph differential equation. To attain the proposed goal, we construct fractal-fractional integration operational matrix of Genocchi polynomials in the Atangana-Baleanu sence for first time. This operational matrix, Genocchi polynomials and an optimization method are applied to convert the under study problem to a set of algebraic equations. At last, two examples are examined with graphs and tables to demonstrates the efficiency and accuracy of the numerical plan.
Researchers Parisa Rahimkhani (First Researcher)