Blowing-up solutions to systems of fractional differential and integral equations with exponential non-linearities

DOI10.1093/IMAMAT/HXT005zbMath1333.35325OpenAlexW2144581619MaRDI QIDQ5175637

Abdelouahab Kadem, W. Edward Olmstead, Colleen M. Kirk, Mukhtar Bin Muhammad Kirane

Publication date: 24 February 2015

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/hxt005

zbMATH Keywords

blow-upanomalous diffusionnonlinear Volterra equationfractional differential and integral equations

Mathematics Subject Classification ID

Chemically reacting flows (80A32) Volterra integral equations (45D05) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Related Items (7)

Unnamed Item ⋮ Nonexistence results for a system of nonlinear fractional integrodifferential equations ⋮ Non‐existence of global solution for a nonlinear integro‐differential inequality ⋮ On the contributions of W. Edward Olmstead ⋮ Non-existence of global solutions for a fractional integro-differential problem with a convolution kernel ⋮ The Blow-Up Solutions to Nonlinear Fractional Differential Caputo-System ⋮ Numerical blow-up analysis of the explicit L1-scheme for fractional ordinary differential equations

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