This article aims to prove the existence and uniqueness of solutions to fractional integro-differential equations involving the $\varphi$-Caputo fractional derivative with nonlocal conditions. The concerned results are obtained using the measure of noncompactness, probability density functions, M\"{o}nch's fixed point theorem, and semigroup theory. To demonstrate the applicability and effectiveness of the results, an illustrative example is presented.
CHEFNAJ, N. , Taqbibt, A. , Hilal, K. and ELomari, M. (2025). $\varphi$--Caputo fractional integrodifferential equations with nonlocal conditions via noncompactness measure. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2025.62509.2761
MLA
CHEFNAJ, N. , , Taqbibt, A. , , Hilal, K. , and ELomari, M. . "$\varphi$--Caputo fractional integrodifferential equations with nonlocal conditions via noncompactness measure", Computational Methods for Differential Equations, , , 2025, -. doi: 10.22034/cmde.2025.62509.2761
HARVARD
CHEFNAJ, N., Taqbibt, A., Hilal, K., ELomari, M. (2025). '$\varphi$--Caputo fractional integrodifferential equations with nonlocal conditions via noncompactness measure', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2025.62509.2761
CHICAGO
N. CHEFNAJ , A. Taqbibt , K. Hilal and M. ELomari, "$\varphi$--Caputo fractional integrodifferential equations with nonlocal conditions via noncompactness measure," Computational Methods for Differential Equations, (2025): -, doi: 10.22034/cmde.2025.62509.2761
VANCOUVER
CHEFNAJ, N., Taqbibt, A., Hilal, K., ELomari, M. $\varphi$--Caputo fractional integrodifferential equations with nonlocal conditions via noncompactness measure. Computational Methods for Differential Equations, 2025; (): -. doi: 10.22034/cmde.2025.62509.2761
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