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Balanced fractional opial inequalities

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  • Anastassiou, George A.

Abstract

Here we present Lp, p>1, fractional Opial type inequalities subject to high order boundary conditions. They involve the right and left Caputo, Riemann–Liouville fractional derivatives. These derivatives are blended together into the balanced Caputo, Riemann–Liouville, respectively, fractional derivative. This balanced fractional derivative is introduced here for the first time.

Suggested Citation

  • Anastassiou, George A., 2009. "Balanced fractional opial inequalities," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1523-1528.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1523-1528
    DOI: 10.1016/j.chaos.2009.03.047
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    References listed on IDEAS

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    1. Anastassiou, George A., 2009. "On right fractional calculus," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 365-376.
    2. Anastassiou, George A., 2009. "Fractional Korovkin theory," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2080-2094.
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