Multi-term fractional integro-differential equations in power growth function spaces-Reference-Cited by-同舟云学术

Multi-term fractional integro-differential equations in power growth function spaces

Published:2021-06-01 Issue:3 Volume:24 Page:739-754
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Tuan Vu Kim¹,Duc Dinh Thanh²,Phung Tran Dinh³

Affiliation:

1. Department of Mathematics, Sciences, and Technology , University of West Georgia , Carrollton , GA 30118 , USA

2. Department of Mathematics and Statistics , Quy Nhon University , Binh Dinh , Vietnam

3. Department of Mathematics and Statistics , University of Finance - Marketing , Ho Chi Minh City , Vietnam

Abstract

Abstract In this paper we characterize the Laplace transform of functions with power growth square averages and study several multi-term Caputo and Riemann-Liouville fractional integro-differential equations in this space of functions.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2021-0032/pdf

Reference24 articles.

1. M. Abramowitz and I.A. Stegun (Eds.), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. 9th printing, Dover, New York (1972).

2. B. Ahmad, M.M. Matar, and O.M. El-Salmy, Existence of solutions and Ulam stability for Caputo type sequential fractional differential equations of order α ∈ (2, 3). Intern. J. Anal. Appl. 15 (2017), 86–101.

3. E. Bazhlekova, Completely monotone multinomial Mittag-Leffler type functions and diffusion equations with multiple time-derivatives. Fract. Calc. Appl. Anal. 24, No 1 (2021), 88–111; 10.1515/fca-2021-0005; https://www.degruyter.com/journal/key/FCA/24/1/html.

4. Xiao-Li Ding and J.J. Nieto, Analytical solutions for multi-term time-space fractional partial differential equations with nonlocal damping terms. Fract. Calc. Appl. Anal. 21, No 2 (2018), 312–335; 10.1515/fca-2018-0019; https://www.degruyter.com/journal/key/FCA/21/2/html.

5. R. Gorenflo and F. Mainardi, Fractional calculus: integral and differential equations of fractional order. In: A. Carpinteri and F. Mainardi (Eds), Fractals and Fractional Calculus in Continuum Mechanics, Springer, New York (1997), 223–276.

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