| 要約: | In this paper, we consider a problem of continuity fractional-order for pseudo-parabolic equations with the fractional derivative of Caputo. Here, we investigate the stability of the problem with respect to derivative parameters and initial data. We also show that <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>u</mi><msup><mi>ω</mi><mo>′</mo></msup></msub><mo>→</mo><msub><mi>u</mi><mi>ω</mi></msub></mrow></semantics></math></inline-formula> in an appropriate sense as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>ω</mi><mo>′</mo></msup><mo>→</mo><mi>ω</mi></mrow></semantics></math></inline-formula>, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ω</mi></semantics></math></inline-formula> is the fractional order. Moreover, to test the continuity fractional-order, we present several numerical examples to illustrate this property.
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