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On the generating function e xt+yϕ(t) and its fractional calculus

100%

Ansari A., Sheikhani A., Kordrostami S.

Open Physics

2013

vol. 11

issue 10

1457-1462

In this article, we derive the coefficient set {H m(x,y)}m=1∞ using the generating function ext+yϕ(t). When the complex function ϕ(t) is entire, using the inverse Mellin transform, and when ϕ(t) has singular points, using the inverse Laplace transform, the coefficient set is obtained. Also, bi-orthogonality of this set with its associated functions and its applications in the explicit solutions of partial fractional differential equations is discussed.

Matrix Mittag‑Leffler function in fractional systems and its computation

100%

Matychyn I., Onyshchenko V.

Bulletin of the Polish Academy of Sciences: Technical Sciences

2018

issue 4

Existence of positive solutions for nonlocal boundary value problem of fractional differential equation

100%

Liu X., Lin L., Fang H.

Open Physics

2013

vol. 11

issue 10

1423-1432

In this paper, we study a type of nonlinear fractional differential equations multi-point boundary value problem with fractional derivative in the boundary conditions. By using the upper and lower solutions method and fixed point theorems, some results for the existence of positive solutions for the boundary value problem are established. Some examples are also given to illustrate our results.

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2 Open Physics

1 Bulletin of the Polish Academy of Sciences: Technical Sciences

1 2018

2 2013

1 Ansari A.

1 Fang H.

1 Kordrostami S.

1 Lin L.

1 Liu X.

1 Matychyn I.

1 Onyshchenko V.

1 Sheikhani A.

Search results

On the generating function e xt+yϕ(t) and its fractional calculus

Matrix Mittag‑Leffler function in fractional systems and its computation

Existence of positive solutions for nonlocal boundary value problem of fractional differential equation