Separated Boundary Value Problems of Sequential Caputo and Hadamard Fractional Differential Equations

Jessada Tariboon; Asawathep Cuntavepanit; Sotiris K. Ntouyas; Woraphak Nithiarayaphaks

doi:10.1155/2018/6974046

Separated Boundary Value Problems of Sequential Caputo and Hadamard Fractional Differential Equations

Jessada Tariboon
, Asawathep Cuntavepanit
, Sotiris K. Ntouyas
, Woraphak Nithiarayaphaks

Interdisciplinary Studies Academic Group

King Mongkut's University of Technology North Bangkok
University of Ioannina
Faculty of Sciences, King Abdulaziz University

Research output: Contribution to journal › Article › peer-review

33 Citations (Scopus)

Abstract

In this paper, we discuss the existence and uniqueness of solutions for new classes of separated boundary value problems of Caputo-Hadamard and Hadamard-Caputo sequential fractional differential equations by using standard fixed point theorems. We demonstrate the application of the obtained results with the aid of examples.

Original language	English
Article number	6974046
Journal	Journal of Function Spaces
Volume	2018
DOIs	https://doi.org/10.1155/2018/6974046
Publication status	Published - 2018

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title = "Separated Boundary Value Problems of Sequential Caputo and Hadamard Fractional Differential Equations",

abstract = "In this paper, we discuss the existence and uniqueness of solutions for new classes of separated boundary value problems of Caputo-Hadamard and Hadamard-Caputo sequential fractional differential equations by using standard fixed point theorems. We demonstrate the application of the obtained results with the aid of examples.",

author = "Jessada Tariboon and Asawathep Cuntavepanit and Ntouyas, \{Sotiris K.\} and Woraphak Nithiarayaphaks",

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year = "2018",

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AU - Tariboon, Jessada

AU - Cuntavepanit, Asawathep

AU - Ntouyas, Sotiris K.

AU - Nithiarayaphaks, Woraphak

PY - 2018

Y1 - 2018

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AB - In this paper, we discuss the existence and uniqueness of solutions for new classes of separated boundary value problems of Caputo-Hadamard and Hadamard-Caputo sequential fractional differential equations by using standard fixed point theorems. We demonstrate the application of the obtained results with the aid of examples.

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U2 - 10.1155/2018/6974046

DO - 10.1155/2018/6974046

M3 - Article

AN - SCOPUS:85057398138

SN - 2314-8896

VL - 2018

JO - Journal of Function Spaces

JF - Journal of Function Spaces

M1 - 6974046

ER -

Separated Boundary Value Problems of Sequential Caputo and Hadamard Fractional Differential Equations

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