참고문헌
- T. Abdeljawad, R.P. Agarwal, E. Karapinar and P.S. Kumari, Solutions of the nonlinear integral equation and fractional differential equation using the technique of a fixed point with a numerical experiment in extended b-metric space, Symmetry, 11(5) (2019), 1-18. https://doi.org/10.3390/sym11050686
- B. Alqahtani, A. Fulga, E. Karapnar and P.S. Kumari, Sehgal type contractions on dislocated spaces, Mathematics, 7(153) (2019), 1-16. https://doi.org/10.3390/math7020153
- M.S. Aslam, M.S.R. Chowdhury, L. Guran, I. Manzoor, T. Abdeljawad, D. Santina and N. Mlaiki, Complex-valued double controlled metric like spaces with applications to fixed point theorems and fredholm type integral equations, AIMS Math., 8(2) (2023), 4944-4963. https://doi.org/10.3934/math.2023247
- D. Baleanu, H. Mohammadi and S. Rezapour, A fractional differential equation model for the covid-19 transmission by using the caputo-fabrizio derivative, Adv. Differ. Equ., 2020(299) (2020), 1-27. https://doi.org/10.1186/s13662-019-2438-0
- S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostra., 1 (1993), 5-11.
- H. Huang, Z.D. Mitrovic, K. Zoto and S. Radenovic, On convex F-contraction in bmetric spaces, Axioms, 10(71), (2021), 1-71. https://doi.org/10.30821/axiom.v10i1.7681
- H. Huang, K. Zoto, Z.D. Mitrovic and S. Radenovic, Fixed point results for generalized F-contractions in b-metric-like spaces, Fractal Fract., 6(272), (2022), 1-13. https://doi.org/10.3390/fractalfract6050272
- T. Kamran, M. Samreen and Q.U. Ain, A generalization of b-metric space and some fixed point theorems, Mathematics, 5(19) (2017), 1-19. https://doi.org/10.3390/math5020019
- E. Karapnar, S.K. Panda and L. Durdana, A new approach to the solution of the fredholm integral equation via a fixed point on extended b-metric spaces, Symmetry, 10(10), (2018), 1-13. https://doi.org/10.3390/sym10100512
- N. Mlaiki, H. Aydi, N. Souayah and T. Abdeljawad, Controlled metric type spaces and the related contraction principle, Mathematics, 6(194) (2018), 1-7. https://doi.org/10.1155/2018/3581768
- S.K. Panda, Applying fixed point methods and fractional operators in the modelling of novel coronavirus 2019-nCoV/SARS-CoV-2, Results in Phy., 19(433) (2020), 1-8. https://doi.org/10.1016/j.rinp.2020.103433
- S.K. Panda, T. Abdeljawad and C. Ravichandran, A complex valued approach to the solutions of Riemann-Liouville integral, Atangana-Baleanu integral operator and nonlinear telegraph equation via fixed point method, Chaos, Solitons and Fract., 130(439) (2020), 1-11. https://doi.org/10.1016/j.chaos.2019.109439
- S.K. Panda, O. Alqahtani and E. Karapnar, Some fixed-point theorems in b-dislocated metric space and applications, Symmetry, 10(12) (2018), 1-24. https://doi.org/10.3390/sym10120691
- S.K. Panda, A. Atangana and T. Abdeljawed, Existence results and numerical study on novel coronavirus 2019-ncov/sars-cov-2 model using differential operators based on the generalized mittag-leffler kernel and fixed points, Fractals, 30(8) (2022), 1-23. https://doi.org/10.1142/S0218348X22402149
- S.K. Panda, A. Atangana and J.J. Nieto, New insights on novel coronavirus 2019-nCoV/SARS-CoV-2 modelling in the aspect of fractional derivatives and fixed points, Math. Biosci. and Engg., 18(6) (2021), 8683-8726. https://doi.org/10.3934/mbe.2021430
- S.K. Panda and D. Panthi, Connecting various types of cyclic contractions and contractive self-mappings with hardy-rogers self-mappings, Fixed Point Theory and Appl., 2016(15) (2016).
- S.K. Panda, C. Ravichandran and B. Hazarika, Results on system of Atangana-Baleanu fractional order willis aneurysm and nonlinear singularly perturbed boundary value problems, Chaos, Solitons and Fract., 142(390) (2021), 1-8. https://doi.org/10.1016/j.chaos.2020.110390
- S.K. Panda, A. Tassaddiq and R.P. Agarwal, A new approach to the solution of nonlinear integral equations via various FBe-contractions, Symmetry, 11(2) (2019), 1-20. https://doi.org/10.3390/sym11020206
- B. Samet, C. Vetro and P. Vetro, Fixed point theorems for α - ψ-contractive type mappings, Nonlinear. Anal., 75(4) (2012), 2154-2165. https://doi.org/10.1016/j.na.2011.10.014
- M. Shoaib, et al. Fixed point theorems for multi-valued contractions in b-metric spaces with applications to fractional differential and integral equations, IEEE Access, 7 (2019), 127373-127383. https://doi.org/10.1109/ACCESS.2019.2938635
- D. Wardowski, Fixed points of new type of contractive mappings in complete metric space, Fixed Point Theory Appl., 2012(94) (2012).
- D. Wardowski, Solving existence problems via F-contractions, Proc. Amer. Math. Soc., 146(4) (2018), 1585-1598. https://doi.org/10.1090/proc/13808
- M.B. Zada and M. Sarwar, Common fixed point theorems for rational F𝓡-contractive pairs of mappings with applications, Jour. of Ineq. and Appl., 2019(1) (2019).
- K. Zoto, I. Vardhami, D. Bajovic, Z.D. Mitrovic and S. Radenovic, On some novel fixed point results for generalized F-contractions in b-metric-like spaces with application, CMES-Comp. Modeling in Engg. and Sci., 135(1) (2023), 673-686. https://doi.org/10.32604/cmes.2022.022878