Abstract
This paper focuses on the existence and uniqueness of solutions for certain types of fractional differential equations involving Riemann–Liouville derivative. The main results are obtained by some fixed point theorems in Sobolev space.
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Boucenna, D., Boulfoul, A., Chidouh, A. et al. Some results for initial value problem of nonlinear fractional equation in Sobolev space. J. Appl. Math. Comput. 67, 605–621 (2021). https://doi.org/10.1007/s12190-021-01500-5
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DOI: https://doi.org/10.1007/s12190-021-01500-5
Keywords
- Fractional differential equations
- Initial value problem
- Weighted Sobovlev space
- Mittag-Leffler function
- Fixed point theorem