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Fractional calculus, integration and differentiation of an arbitrary or fractional order, provides new tools that expand the descriptive power of calculus beyond the familiar integer-order concepts of rates of change and area under a curve. Fractional calculus adds new functional relationships and new functions to the familiar family of exponentials and sinusoids that arise in the area of ordinary linear differential equations. Among such functions that play an important role, we have the Euler Gamma function, the Euler Beta function, the Mittag-Leffler functions, the Wright and Fox functions, M-Function, K-Function and so forth.The Fractional Calculus applied in the distributions of a extensive variety of physical, biological, and man-made phenomena approximately follow a power law over a wide range of magnitudes. More than a hundred power-law distributions have been identified in biology (e.g. species extinction and body mass), in physics (e.g. sand pile avalanches and earthquakes), and the social sciences (e.g. city sizes and income).When the probability of measuring a particular value of some quantity varies inversely as a power of that value, the quantity is said to follow a power law. A power law distribution is a special kind of probability distribution. Fractional moments are very useful in dealing with random variable with power law distributions, F(x) ∼|x|−α, α>0 where F(x) is the distribution function. In such cases, moments E(|x|p) exist only if p<α and integer order moments greater then α diverge. This type of problem arises in the distributions where power law statistics appear in many fields of applied science.</p> <p class="mb-1"><strong>Biography:</strong></p> <p class="mb-3"></p> </div> </div> </main> <footer class="mt-3 bg-light" style="border-bottom: black 3px solid;"> <div class="container flex-fill"> <div class="row f_t"> <div class="col-5 col-sm m-1 p-2"> <h6 id="About">About</h6> <p class="mb-1"><a href="https://www.academicx.org/About_US.aspx" class="text-decoration-none" id="AboutUs">About Us</a></p> <p class="mb-1"><a href="https://www.academicx.org/FAQ.aspx" class="text-decoration-none" id="FAQ">FAQ</a></p> </div> <div class="col-5 col-sm m-1 p-2"> <h6 id="Account">Account</h6> <p class="mb-1"><a href="https://www.academicx.org/Login.aspx" class="text-decoration-none" id="fLogin">Login</a></p> <p class="mb-1"><a href="https://www.academicx.org/User_Registration.aspx" class="text-decoration-none" id="CreateAccount">Create Account</a></p> </div> <div class="col-5 col-sm m-1 p-2"> <h6 id="Explore">Explore</h6> <p class="mb-1"><a href="#" class="text-decoration-none" id="fCommittees">Committees</a></p> <p class="mb-1"><a href="https://www.academicx.org/AllConferences.aspx" class="text-decoration-none" id="master_Conferences">Conferences</a></p> </div> <div class="col-5 col-sm m-1 p-2"> <h6 id="fSupport">Support</h6> <p class="mb-1"><a href="#" class="text-decoration-none" id="Support">Support</a></p> <p class="mb-1"><a href="https://www.academicx.org/Contact_us.aspx" class="text-decoration-none" id="fContactUs2">Contact Us</a></p> </div> </div> </div> </footer> <!--Start of Tawk.to Script--> <script type="text/javascript"> var Tawk_API=Tawk_API||{}, Tawk_LoadStart=new Date(); (function(){ var s1=document.createElement("script"),s0=document.getElementsByTagName("script")[0]; s1.async=true; s1.src='https://embed.tawk.to/656fe9a9bfb79148e59a7c35/1hguihg4h'; s1.charset='UTF-8'; s1.setAttribute('crossorigin','*'); s0.parentNode.insertBefore(s1,s0); })(); </script> <!--End of Tawk.to Script--> <div class="container text-center small p-3">Copyright © 2023 The Academic Communications, PTE. 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