Fractional calculus and its applications
-
H. M. Srivastava
harimsri@math.uvic.ca
Downloads
Abstract
The subject of fractional calculus (that is, calculus of integrals and derivatives of any arbitrary real or complex order) has gained importance and popularity during the past three decades or so, due mainly to its demonstrated applications in numerous seemingly diverse fields of science and engineering. Indeed it provides several potentially useful tools for solving differential, integral, and integro-differential equations, and various other problems involving special functions of mathematical physics as well as their extensions and generalizations in one and more variables. The main purpose of this expository article is to provide a rather brief introduction to the theory and applications of fractional calculus.
Keywords
Similar Articles
- Ganga Ram Gautam, Sandra Pinelas, Manoj Kumar, Namrata Arya, Jaimala Bishnoi, On the solution of \(\mathcal{T}-\)controllable abstract fractional differential equations with impulsive effects , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Shruti A. Kalloli, José Vanterler da C. Sousa, Kishor D. Kucche, On the \(\Phi\)-Hilfer iterative fractional differential equations , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
- George A. Anastassiou, Foundations of generalized Prabhakar-Hilfer fractional calculus with applications , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Rabha W. Ibrahim, Existence of deviating fractional differential equation , CUBO, A Mathematical Journal: Vol. 14 No. 3 (2012): CUBO, A Mathematical Journal
- Bo Zhang, Boundedness and Global Attractivity of Solutions for a System of Nonlinear Integral Equations , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
- Mouffak Benchohra, Gaston M. N‘Guérékata, Djamila Seba, Measure of noncompactness and nondensely defined semilinear functional differential equations with fractional order , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Syed Abbas, Weighted pseudo almost automorphic solutions of fractional functional differential equations , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- Wael Abdelhedi, Minkowski type inequalities for a generalized fractional integral , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
- Marko Kostić, Degenerate k-regularized (C1, C2)-existence and uniqueness families , CUBO, A Mathematical Journal: Vol. 17 No. 3 (2015): CUBO, A Mathematical Journal
- B. C. Das, Soumen De, B. N. Mandal, Wave propagation through a gap in a thin vertical wall in deep water , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.











