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On a Fractional Differential Equation with r -Laplacian Operator and Nonlocal Boundary Conditions

Author

Listed:
  • Johnny Henderson

    (Department of Mathematics, Baylor University, Waco, TX 76798-7328, USA)

  • Rodica Luca

    (Department of Mathematics, Gheorghe Asachi Technical University, 700506 Iasi, Romania)

  • Alexandru Tudorache

    (Department of Computer Science and Engineering, Gheorghe Asachi Technical University, 700050 Iasi, Romania)

Abstract

We study the existence and multiplicity of positive solutions of a Riemann-Liouville fractional differential equation with r -Laplacian operator and a singular nonnegative nonlinearity dependent on fractional integrals, subject to nonlocal boundary conditions containing various fractional derivatives and Riemann-Stieltjes integrals. We use the Guo–Krasnosel’skii fixed point theorem in the proof of our main results.

Suggested Citation

  • Johnny Henderson & Rodica Luca & Alexandru Tudorache, 2022. "On a Fractional Differential Equation with r -Laplacian Operator and Nonlocal Boundary Conditions," Mathematics, MDPI, vol. 10(17), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:17:p:3139-:d:903943
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