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We solve the space-fractional Schrödinger equation for a quadrupolar triple Dirac-δ (QTD-δ) potential for all energies using the momentum-space approach. For the E   0 (QTD-δ potential with central Dirac-δ well) and V 0    0, and there are two eigenenergies when V 0    0) wave functions and express them in terms of Fox's H-function.

Space-fractional Schrödinger equation for a quadrupolar triple Dirac-δ potential: Central Dirac-δ well and barrier cases