## Abstract and Applied Analysis

### On a Differential Equation Involving Hilfer-Hadamard Fractional Derivative

#### Abstract

This paper studies a fractional differential inequality involving a new fractional derivative (Hilfer-Hadamard type) with a polynomial source term. We obtain an exponent for which there does not exist any global solution for the problem. We also provide an example to show the existence of solutions in a wider space for some exponents.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 391062, 17 pages.

Dates
First available in Project Euclid: 5 April 2013

https://projecteuclid.org/euclid.aaa/1365168364

Digital Object Identifier
doi:10.1155/2012/391062

Mathematical Reviews number (MathSciNet)
MR2926900

Zentralblatt MATH identifier
1255.34007

#### Citation

Qassim, M. D.; Furati, K. M.; Tatar, N.-E. On a Differential Equation Involving Hilfer-Hadamard Fractional Derivative. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 391062, 17 pages. doi:10.1155/2012/391062. https://projecteuclid.org/euclid.aaa/1365168364

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