RT Journal Article
T1 On impulsive nonlocal integro-initial value problems involving multi-order Caputo-type generalized fractional derivatives and generalized fractional integrals
A1 Ahmad, Bashir
A1 Alghanmi, Madeaha
A1 Nieto Roig, Juan José
A1 Alsaedi, Ahmed
K1 Multi-order fractional derivatives
K1 Impulse
K1 Caputo-type generalized fractional derivative
K1 Fractional integral
K1 Extremal solutions
AB In this paper, we present sufficient criteria ensuring the existence and uniqueness ofsolutions for nonlinear impulsive multi-order Caputo-type generalized fractionaldifferential equations supplemented with nonlocal integro-initial value conditionsinvolving generalized fractional integrals. Extremal solutions for the given problem arealso discussed. The main tools of our study include Krasnoselskii’s fixed pointtheorem, Banach contraction mapping principle and monotone iterative technique.Examples are constructed for illustrating the obtained results
PB Springer
YR 2019
FD 2019
LK http://hdl.handle.net/10347/21167
UL http://hdl.handle.net/10347/21167
LA eng
NO Ahmad, B., Alghanmi, M., Nieto, J.J. et al. On impulsive nonlocal integro-initial value problems involving multi-order Caputo-type generalized fractional derivatives and generalized fractional integrals. Adv Differ Equ 2019, 247 (2019). https://doi.org/10.1186/s13662-019-2183-4
NO This project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia under grant no. (RG-1-130-39)
DS Minerva
RD 24 abr 2026