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By using monotone iterative method, the extremal solutions and the unique solution are obtained for a nonlinear fractional p-Laplacian boundary value problem involving fractional conformable derivatives and nonlocal integral boundary conditions. Comparison theorems related to the proposed study are also proved. The paper concludes with an illustrative example for the main result.
This article studies the existence and uniqueness of solutions for impulsive semi-linear evolution equations of fractional order α ∈ (1, 2] with mixed boundary conditions. Some standard fixed point theorems are applied to prove the main results. An illustrative example is also presented. Mathematics Subject Classification: 26A33; 34K30; 34K45.
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