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Advances in Fractional Differential Equations and Their Real World Applications - Part Two

Page 2 of 2

  1. In this article, we discuss the sufficient conditions for the existence, uniqueness and stability of solutions to a class of nonlinear impulsive boundary value problem of fractional order differential equation...

    Authors: Asma, Arshad Ali, Kamal Shah and Fahd Jarad

    Citation: Advances in Difference Equations 2019 2019:7

    Content type: Research

    Published on:

  2. Fractional derivatives with three parameter generalized Mittag-Leffler kernels and their properties are studied. The corresponding integral operators are obtained with the help of Laplace transforms. The actio...

    Authors: Thabet Abdeljawad and Dumitru Baleanu

    Citation: Advances in Difference Equations 2018 2018:468

    Content type: Research

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  3. A finite difference scheme, based upon the Crank–Nicolson scheme, is applied to the numerical approximation of a two-dimensional time fractional non-Newtonian fluid model. This model not only possesses a multi...

    Authors: Yanqin Liu, Xiuling Yin, Libo Feng and Hongguang Sun

    Citation: Advances in Difference Equations 2018 2018:442

    Content type: Research

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  4. Hadamard fractional derivatives are nonlocal fractional derivatives with singular logarithmic kernel with memory, and hence they are suitable to describe complex systems. In this paper, sufficient conditions a...

    Authors: Bahaaeldin Abdalla and Thabet Abdeljawad

    Citation: Advances in Difference Equations 2018 2018:409

    Content type: Research

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  5. In this paper, starting from a fixed δ-sequence, we use the generalized Taylor’s formula based on conformable derivatives and the neutrix limit to find the powers of the Dirac delta function ...

    Authors: Fahd Jarad, Yassine Adjabi, Dumitru Baleanu and Thabet Abdeljawad

    Citation: Advances in Difference Equations 2018 2018:407

    Content type: Research

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  6. In this study, we consider fractional Sturm–Liouville (S–L) problems within non-singular operators. A fractional S–L problem with exponential and Mittag-Leffler kernels is given with different versions in the ...

    Authors: Erdal Bas, Ramazan Ozarslan, Dumitru Baleanu and Ahu Ercan

    Citation: Advances in Difference Equations 2018 2018:350

    Content type: Research

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  7. In this manuscript we investigate the time fractional dispersive long wave equation (DLWE) and its corresponding integer order DLWE. The symmetry properties and reductions are derived. We construct the conserv...

    Authors: Abdullahi Yusuf, Mustafa Inc, Aliyu Isa Aliyu and Dumitru Baleanu

    Citation: Advances in Difference Equations 2018 2018:319

    Content type: Research

    Published on: