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In this paper, we are concerned with local existence and blowup of a unique solution to a time‐space fractional evolution equation with a time nonlocal nonlinearity of exponential growth. At… Click to show full abstract
In this paper, we are concerned with local existence and blowup of a unique solution to a time‐space fractional evolution equation with a time nonlocal nonlinearity of exponential growth. At first, we prove the existence and uniqueness of the local solution by the Banach contraction mapping principle. Then, the blowup result of the solution in finite time is established by the test function method with a judicious choice of the test function.
Keywords:
time;
existence;
time space;
local existence;
existence blowup
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2019
Link to full text (if available)
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Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!