Magnetic Lovelock black holes with a cloud of strings and quintessence

We consider a model of exponential electrodynamics as a source of gravitational field and worked for the solution describing magnetic black hole surrounded by a quintessence and cloud of strings. In this set up, a new family of Lovelock black hole solutions of the gravitational field equations are constructed. The thermodynamics of these black holes is also studied and the mass as well as the other associated thermodynamic quantities such as Hawking temperature and heat capacity in terms of horizon radius are computed. These quantities are dependent on the parameters of exponential electrodynamics, cloud of strings and quintessential dark energy, which have been used for the identification of the regions corresponding to thermal phase transitions and thermodynamic stability of black holes. Furthermore, the effects of thermal fluctuations are also discussed and modified thermodynamic quantities associated to logarithmic correction in entropy are calculated. The Hawking radiations corresponding to these black holes are briefly discussed as well.