Upper and lower solution method for Hilfer fractional evolution equations with nonlocal conditions
Keyword(s):
AbstractThis paper is concerned with the existence of extremal mild solutions for Hilfer fractional evolution equations with nonlocal conditions in an ordered Banach space E. By employing the method of lower and upper solutions, the measure of noncompactness, and Sadovskii’s fixed point theorem, we obtain the existence of extremal mild solutions for Hilfer fractional evolution equations with noncompact semigroups. Finally, an example is provided to illustrate the feasibility of our main results.
2014 ◽
Vol 51
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pp. 1123-1139
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2020 ◽
Vol 21
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pp. 205-218
2013 ◽
Vol 65
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pp. 711-728
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2017 ◽
Vol 20
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2020 ◽
Vol 23
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pp. 268-291
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