Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Publisher: search.filters.publisher.Frontiers Media SaSubject: search.filters.subject.Fractional Calculus

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Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 10
    Citation - Scopus: 19
    A New Dynamic Scheme Via Fractional Operators on Time Scale
    (Frontiers Media Sa, 2020) Noor, Muhammad Aslam; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru; Rahman, Gauhar; Rashid, Saima; Aslam Noor, Muhammad
    The present work investigates the applicability and effectiveness of the generalized Riemann-Liouville fractional integral operator integral method to obtain new Minkowski, Gruss type and several other associated dynamic variants on an arbitrary time scale, which are communicated as a combination of delta and fractional integrals. These inequalities extend some dynamic variants on time scales, and tie together and expand some integral inequalities. The present method is efficient, reliable, and it can be used as an alternative to establishing new solutions for different types of fractional differential equations applied in mathematical physics.
  • Article
    Citation - WoS: 127
    Citation - Scopus: 154
    A New Iterative Method for the Numerical Solution of High-Order Non-Linear Fractional Boundary Value Problems
    (Frontiers Media Sa, 2020) Baleanu, Dumitru; Jajarmi, Amin
    The boundary value problems (BVPs) have attracted the attention of many scientists from both practical and theoretical points of view, for these problems have remarkable applications in different branches of pure and applied sciences. Due to this important property, this research aims to develop an efficient numerical method for solving a class of non-linear fractional BVPs. The proposed method is free from perturbation, discretization, linearization, or restrictive assumptions, and provides the exact solution in the form of a uniformly convergent series. Moreover, the exact solution is determined by solving only a sequence of linear BVPs of fractional-order. Hence, from practical viewpoint, the suggested technique is efficient and easy to implement. To achieve an approximate solution with enough accuracy, we provide an iterative algorithm that is also computationally efficient. Finally, four illustrative examples are given verifying the superiority of the new technique compared to the other existing results.
  • Editorial
    Citation - WoS: 85
    Citation - Scopus: 91
    Editorial: Fractional Calculus and Its Applications in Physics
    (Frontiers Media Sa, 2019) Baleanu, Dumitru; Kumar, Devendra