SOLVING HIGH-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS USING THE HYBRID BERNOULLI FUNCTION
Keywords:
SOLVING HIGH-ORDER, DIFFERENTIAL EQUATIONS, HYBRID BERNOULLI FUNCTION
Abstract
In this research, we will apply a numerical method Dependent on hybrid Bernoulli equations to solve partial differential equations. We will also use Riemann-Liouville integral of the basic function s and use it to transform the problem to be solved into a system of nonlinear algebraic equations. Give an example to verify the ability and accuracy of the method.
References
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2. S. Mashayekhi, Y. Ordokhani and M. Razzaghi, Hybrid functions approach for nonlinear constrained optimal control problems, Communications in Nonlinear Science and Numerical Simulation, 17(4) (2012), 1831–1843.
3. I. Podlubny, Fractional Differential Equations, Mathematics in Science and Engineering V198, Academic Press, 1999.
4. H.M. Srivastava and J. Choi, Zeta and q-Zeta functions and associated series and integrals, Elsevier,2012.
5. H.M. Srivastava and P.G. Todorov, An explicit formula for the generalized Bernoulli polynomials, Journal of mathematical analysis and applications, 130(2) (1988), 509–513.
2. S. Mashayekhi, Y. Ordokhani and M. Razzaghi, Hybrid functions approach for nonlinear constrained optimal control problems, Communications in Nonlinear Science and Numerical Simulation, 17(4) (2012), 1831–1843.
3. I. Podlubny, Fractional Differential Equations, Mathematics in Science and Engineering V198, Academic Press, 1999.
4. H.M. Srivastava and J. Choi, Zeta and q-Zeta functions and associated series and integrals, Elsevier,2012.
5. H.M. Srivastava and P.G. Todorov, An explicit formula for the generalized Bernoulli polynomials, Journal of mathematical analysis and applications, 130(2) (1988), 509–513.
Published
2023-11-13
How to Cite
Haeder Abdolrazzaq Jasem. (2023). SOLVING HIGH-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS USING THE HYBRID BERNOULLI FUNCTION . Central Asian Journal of Medical and Natural Science, 4(6), 726-730. https://doi.org/10.17605/cajmns.v4i6.2111
Section
Articles
