Sakar, Mehmet GiyasSaldır, OnurAkgül, Ali2024-12-242024-12-2420182349-5103https://doi.org10.1007/s40819-018-0562-2https://hdl.handle.net/20.500.12604/4027In this research, a new numerical method is proposed for solving fractional Bratu type boundary value problems. Fractional derivatives are taken in Caputo sense. This method is predicated on iterative approach of reproducing kernel Hilbert space theory with shifted Legendre polynomials. Construction of iterative process is shown by orthogonal projection operator. Numerical results show that our method is effective and convenient for fractional Bratu type problem. © 2018, Springer Nature India Private Limited.eninfo:eu-repo/semantics/closedAccessBoundary value problemBratu equationNumerical approximationReproducing kernel methodShifted Legendre polynomialsArticle45Q22-s2.0-8506271089610.1007/s40819-018-0562-2