Existence and uniqueness for a problem involving Hilfer fractional derivative

K. M. Furati; M. D. Kassim; N. E Tatar

doi:10.1016/j.camwa.2012.01.009

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$Existence and uniqueness for a problem involving Hilfer fractional derivative$

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Existence and uniqueness for a problem involving Hilfer fractional derivative

K. M. Furati, M. D. Kassim and N. E Tatar

Computers & mathematics with applications (1987), Vol.64(6), pp.1616-1626

01/09/2012

DOI: https://doi.org/10.1016/j.camwa.2012.01.009

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

We consider an initial value problem for a class of nonlinear fractional differential equations involving Hilfer fractional derivative. We prove existence and uniqueness of global solutions in the space of weighted continuous functions. The stability of the solution for a weighted Cauchy-type problem is also analyzed. (c) 2012 Elsevier Ltd. All rights reserved.

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Title: Existence and uniqueness for a problem involving Hilfer fractional derivative
Creators - without role: K. M. Furati - King Fahd University of Petroleum and Minerals
M. D. Kassim - King Fahd University of Petroleum and Minerals
N. E Tatar - King Fahd University of Petroleum and Minerals
Publication Details: Computers & mathematics with applications (1987), Vol.64(6), pp.1616-1626
Publisher: Elsevier
Number of pages: 11
Grant note: IN 101003 / King Fahd University of Petroleum and Minerals BAE Systems through the PDSR program by the British Council in Saudi Arabia
Identifiers: 9915639608331
Academic Unit: Imam Abdulrahman Bin Faisal University; King Fahd University of Petroleum & Minerals
Language: English
Resource Type: Journal article