Further results on existence of positive solutions of generalized fractional boundary value problems

被引:0
作者
Hojjat Afshari
Mohammed S. Abdo
Jehad Alzabut
机构
[1] University of Bonab,Department of Mathematics, Faculty of Basic Science
[2] Hodiedah University,Department of Mathematics
[3] Prince Sultan University,Department of Mathematics and General Sciences
来源
Advances in Difference Equations | / 2020卷
关键词
Generalized Caputo differential equation; -; -Geraghty contractive; Positive solution;
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摘要
This paper studies two classes of boundary value problems within the generalized Caputo fractional operators. By applying the fixed point result of α-ϕ-Geraghty contractive type mappings, we derive new results on the existence and uniqueness of the proposed problems. Illustrative examples are constructed to demonstrate the advantage of our results. The theorems reported not only provide a new approach but also generalize existing results in the literature.
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  • [1] Abdo M.S.(2019)Fractional integro-differential equations with nonlocal conditions and Math. Model. Anal. 24 564-584
  • [2] Panchal S.K.(2019)-Hilfer fractional derivative Proc. Indian Acad. Sci. Math. Sci. 129 9-21
  • [3] Hussien S.H.(2018)Fractional boundary value problem with Adv. Differ. Equ. 2018 4695-4706
  • [4] Abdo M.S.(2020)-Caputo fractional derivative Georgian Math. J. 27 319-332
  • [5] Panchal S.K.(2020)Solution of fractional differential equations in quasi-b-metric and b-metric-like spaces Adv. Differ. Equ. 2020 86-101
  • [6] Saeed A.M.(2016)On generalized J. Nonlinear Sci. Appl. 9 460-481
  • [7] Afshari H.(2016)- East Asian Math. J. 32 336-352
  • [8] Afshari H.(2018)-Geraghty contractions on b-metric spaces Adv. Differ. Equ. 2018 1687-1697
  • [9] Aydi H.(2015)Applications of some fixed point theorems for fractional differential equations with Mittag-Leffler kernel Electron. J. Differ. Equ. 2015 495-505
  • [10] Karapinar E.(2012)On the extended multivalued Geraghty type contractions Fract. Calc. Appl. Anal. 15 916-924