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Monotone iterative method for $\psi$-Caputo fractional differential equations with nonlinear boundary conditions
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  • Choukri Derbazi,
  • Baitiche Zidane,
  • Mohammed S. Abdo,
  • Kamal Shah
Choukri Derbazi
Universite de Ghardaia
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Baitiche Zidane
Universite de Ghardaia
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Mohammed S. Abdo
Hodeidah University, Dr. Babasaheb Ambedkar Marathwada Universtiy
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Kamal Shah
University of Malakand
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In this research article, by the utilize of the well-known monotone iterative technique along with the technique of upper and lower solutions, we investigate the existence of extremal solutions for a new category of nonlinear fractional differential equations involving a novel Caputo version so-called }${\footnotesize \psi }$% {\footnotesize –Caputo fractional derivative with nonlinear boundary conditions. As an application of this work, two pertinent examples are offered to highlight our theoretical results.