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Abstract In the paper, we derive a formula of integration by parts for the left-sided Hilfer derivative. Moreover, we present a formula of such a type for the right-sided Hilfer… Click to show full abstract
Abstract In the paper, we derive a formula of integration by parts for the left-sided Hilfer derivative. Moreover, we present a formula of such a type for the right-sided Hilfer derivative. These results generalize the well-known rules of integration by parts for the Riemann–Liouville and Caputo derivatives. Finally, we use these rules to investigate some boundary value problems involving mixed fractional derivatives.
Keywords:
integration parts;
integration;
boundary value;
generalized fractional;
value problems
Journal Title: Georgian Mathematical Journal
Year Published: 2019
Link to full text (if available)
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Journal Title: Georgian Mathematical Journal
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!