Aida Riahifar - MSc. Student of Control and Optimization, MathematicalSciencesDepartment, Ferdowsi University ofMashhad(FUM), Iran.
Hamedreza Tareghian - Ph.D., Professor of Mathematical Sciences, Ferdowsi University of Mashhad (FUM), Iran. Telephone
Narges Salehnia - Ph.D., Assistant Professor of Energy Economics, Ferdowsi University of Mashhad (FUM), Iran

Social capital is an old concept which has found rising acceptance within the economics and scientificprofession from 1991s.The importance of this notion in describing socioeconomic phenomena has grownsignificantly during recent years and its theoretical and practical literature has been developed, too.Generally, social capital consists of norms, values, beliefs, mutual trust and social relationships that canfacilitate coordination and cooperation in society. Estimating and describing the social capital role, as a keyand behavioral factor, in different economic debates and functions is one of the most challenging parts ineconomic and scientific associations, especially in the world energy markets. Undoubtedly, one of the mostimportant challenges in this century in the world is energy crisis. On one hand, shortage of energy resourcesand its growing consumption and on the other hand, extreme usage of energy by different societies hasendangered future life of human, polluted the environment and wasted national capitals. Therefore, thispaper provides the concept and role of social capital in economic analysis of energyconsumption;moreover, social capital quantification as an influential parameter in energy consumption optimization witha mathematical approach has been developed, too

energy consumption, social capital, mathematical approach