@article{Chaib2026, 
author = {Mohamed Chaib and Jiabin Zuo and Lalla Saadia Chadli and Wei Chen},
title = {Generalized Caputo fractional differential equations with nonlocal conditions},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {1},
pages = {196-208},
keywords = {semigroup, Mönch's fixed point theorem, ψ-fractional derivative, evolution equations},
url = {https://www.sciopen.com/article/10.3934/era.2026010},
doi = {10.3934/era.2026010},
abstract = {This paper investigates the existence and uniqueness of solutions for fractional differential equations with nonlocal conditions. The results are derived using measure theory, Monch's fixed point theorem, and semigroup theory. An illustrative example is also presented, involving a nonlocal fractional evolution problem in        L    2    (  (  0  ,  π  )  ,      R    ). This example demonstrates the effect of the    ψ-Caputo derivative on the mild solution in comparison with the standard Caputo derivative, highlighting the influence of non-uniform time scaling and memory effects.}
}