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Browsing by Author "Gul, Rozi"

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    Article
    Citation - WoS: 10
    Citation - Scopus: 11
    On a class of boundary value problems under ABC fractional derivative
    (Springer, 2021) Gul, Rozi; Jarad, Fahd; Shah, Kamal; Khan, Zareen A.; Jarad, Fahd; 234808; Matematik
    In this work, we establish some necessary results about existence theory to a class of boundary value problems (BVPs) of hybrid fractional differential equations (HFDEs) in the frame of Atangana-Baleanu-Caputo (ABC) fractional derivative. Making use of Krasnoselskii and Banach theorems, we obtain the required conditions. Some appropriate results of Hyers-Ulam (H-U) stability corresponding to the considered problem are also established. Also a pertinent example is given to demonstrate the results.
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    Article
    Citation - WoS: 14
    Citation - Scopus: 17
    Qualitative analysis of implicit Dirichlet boundary value problem for Caputo-Fabrizio fractional differential equations
    (Hindawi Ltd, 2020) Abdeljawad, Thabet; Gul, Rozi; Sarwar, Muhammad; Jarad, Fahd; Shah, Kamal; Abdeljawad, Thabet; Jarad, Fahd; 234808; Matematik
    This article studies a class of implicit fractional differential equations involving a Caputo-Fabrizio fractional derivative under Dirichlet boundary conditions (DBCs). Using classical fixed-point theory techniques due to Banch's and Krasnoselskii, a qualitative analysis of the concerned problem for the existence of solutions is established. Furthermore, some results about the stability of the Ulam type are also studied for the proposed problem. Some pertinent examples are given to justify the results.