@article{BouguetofMezdoudKebirietal., author = {Bouguetof, Khaoula and Mezdoud, Zaineb and Kebiri, Omar and Hartmann, Carsten}, title = {On the existence and uniqueness of the solution to multifractional stochastic delay differential equation}, series = {Fractional Calculus and Applied Analysis}, volume = {27}, journal = {Fractional Calculus and Applied Analysis}, number = {5}, publisher = {Springer Science and Business Media LLC}, issn = {1311-0454}, doi = {10.1007/s13540-024-00314-z}, pages = {2284 -- 2304}, abstract = {AbstractIn this paper we study existence and uniqueness of solution stochastic differential equations involving fractional integrals driven by Riemann-Liouville multifractional Brownian motion and a standard Brownian. Then, we obtain approximate numerical solution of our problem and colon cancer chemotherapy effect model are presented to confirm our results. We show that considering time dependent Hurst parameters play an important role to get more realistic results.}, language = {en} }