A Solution of the Fractional Differential Equations in the Setting of B-Metric Space

Afshari, H.Karapinar, E.2024-02-192025-09-182024-02-192025-09-182021Afshari, H.; Karapınar, E. (2021). "A solution of the fractional differential equations in the setting of b-metric space", Carpathian Mathematical Publications, Vol.13, No.3, pp.764-774.2075-98272313-0210https://doi.org/10.15330/cmp.13.3.764-774https://hdl.handle.net/20.500.12416/12954Afshari, Hojat/0000-0003-1149-4336In this paper, we study the existence of solutions for the following differential equations by using a fixed point theorems {D(c)(mu)w(sigma) +/- D(c)(nu)w(sigma) = h(sigma, w(sigma)), sigma is an element of J, 0 < nu < mu < 1, w(0) = w(0), where D-mu, D-nu is the Caputo derivative of order mu, nu, respectively and h: J x R -> R is continuous. The results are well demonstrated with the aid of exciting examples.eninfo:eu-repo/semantics/openAccessComplete B-Metric SpaceCaputo DerivativeAlpha-Psi-Geraghty Contractive Type MappingA Solution of the Fractional Differential Equations in the Setting of B-Metric SpaceA solution of the fractional differential equations in the setting of b-metric spaceArticle10.15330/cmp.13.3.764-7742-s2.0-85123063436