### AIMS Mathematics

2021, Issue 6: 5801-5816. doi: 10.3934/math.2021343
Research article Special Issues

# On a nonlinear mixed-order coupled fractional differential system with new integral boundary conditions

• Received: 12 December 2020 Accepted: 22 March 2021 Published: 26 March 2021
• MSC : 34A08, 34B15

• We present the criteria for the existence of solutions for a nonlinear mixed-order coupled fractional differential system equipped with a new set of integral boundary conditions on an arbitrary domain. The modern tools of the fixed point theory are employed to obtain the desired results, which are well-illustrated by numerical examples. A variant problem dealing with the case of nonlinearities depending on the cross-variables (unknown functions) is also briefly described.

Citation: Bashir Ahmad, Soha Hamdan, Ahmed Alsaedi, Sotiris K. Ntouyas. On a nonlinear mixed-order coupled fractional differential system with new integral boundary conditions[J]. AIMS Mathematics, 2021, 6(6): 5801-5816. doi: 10.3934/math.2021343

### Related Papers:

• We present the criteria for the existence of solutions for a nonlinear mixed-order coupled fractional differential system equipped with a new set of integral boundary conditions on an arbitrary domain. The modern tools of the fixed point theory are employed to obtain the desired results, which are well-illustrated by numerical examples. A variant problem dealing with the case of nonlinearities depending on the cross-variables (unknown functions) is also briefly described.

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