Fractional calculus and its applications
Applications of Fractional Calculus to Newtonian Mechanics
... basic applications of Fractional Calculus (FC) to Newto- nian ...generalized fractional gravitational potential and derive the re- lated circular orbital ...Both applications have a ...
11
Recent applications of fractional calculus to science and engineering
... in fractional calculus was published in engineering lit- ...of fractional calculus are dominated by mod- ern examples of applications in differential and integral equations, physics, ...
30
Subclass for Higher Order Derivatives of Multivalent Analytic Functions on Complex Hilbert Space with Some Applications in Fractional Calculus
... Abstract: In the present investigation, we introduce and study a certain subclass for higher-order derivatives of multivalent analytic functions defined on complex Hilbert space. We determine some properties of this ...
7
SOVIET PIONEERS OF FRACTIONAL CALCULUS AND ITS APPLICATIONS: II.\; MOSES ROZOVSKIY
... [34] M.I. Rozovskiy, A property of the power of the special operator and its ap- plication to solving elastic-hereditary dynamical problems (In Russian), In: Coll. Papers “Creep and long-time strength”, Siberian ...
8
Fractional calculus of generalized k Mittag Leffler function and its applications to statistical distribution
... generalized fractional integral operators of types ...Marichev-Saigo-Maeda fractional integral operators involving generalized Bessel functions (see also ...
17
Extensions of almost-F and F-Suzuki contractions with graph and some applications to fractional calculus
... In this paper, we introduce the two new concepts of an α -type almost-F-contraction and an α -type F Suzuki contraction and prove some fixed point theorems for such mappings in a complete metric space. Some examples and ...
14
Classical Properties on Conformable Fractional Calculus
... several applications about this topic [5, ...conformable fractional calculus based on the definition introduced by Katugampola ...conformable fractional calculus that well functioned, ...
5
Application of fractional calculus in the dynamics of beams
... of fractional order are increasingly used to model prob- lems in the continuum and other areas of ...of fractional calculus is of importance in various disciplines such as science, engineering, and ...
13
Fractional Versions of the Fundamental Theorem of Calculus
... several applications and are used to solve problems in different fields of knowledge, specifically, involving a fractional differential equation with boundary value con- ditions and/or initial conditions ...
11
Hardy type inequalities in fractional h discrete calculus
... of fractional h-discrete calculus is a rapidly developing area of great interest both from a theoretical and applied point of ...Concerning applications in various fields of mathematics we refer to ...
14
The (k, s)-Fractional Calculus of Class of a Function
... Fractional calculus has gained appreciable fame and significance due to its numerous and boundless applications in Science; more particularly in ...of fractional calculus, one ...
10
RECENT ADVANCEMENT IN FRACTIONAL CALCULUS
... errors. Fractional calculus helps in reducing this error using fractional derivatives, and has capabilities to provide excellent depiction of memory and heredity properties of ...of fractional ...
10
The operational matrix of fractional derivative of the fractional-order Chebyshev functions and its applications
... Fractional calculus, i.e. the theory of derivatives and integrals of fractional (non- integer) order, have been playing an increasingly important role in scientific and engineering ...of ...
21
Noninstantaneous impulsive inequalities via conformable fractional calculus
... of fractional differential equations has evolved as an interesting and impor- tant field of research in view of numerous applications in physics, mechanics, chemistry, engineering (like traffic, transportation, ...
14
Fractional q symmetric calculus on a time scale
... to its distinguished applications in numerous diverse fields of physics such as cosmic strings and black holes [], conformal quantum mechanics [], nu- clear and high energy physics [], just to name a ...
18
Fractional Order Variational Calculus with Generalized Boundary Conditions
... Fractional calculus is one of the generalizations of the classical ...of fractional differentiation and fractional integration are already well estab- lished, some others have just ...Many ...
9
The fractional calculus numerical algorithms and its application to the viscoelastic material problem
... first fractional differential operators meeting in New Haven University, and edited session ...the fractional differential operator and published the first monograph in 1974, that is the fractional ...
8
A new transform method in nabla discrete fractional calculus
... The fractional calculus deals with integrals and derivatives of arbitrary ...this calculus because of its interesting applications in various fields of science, such as viscoelasticity, ...
17
Dual identities in fractional difference calculus within Riemann
... to its widespread applications in different fields of science and engineering, fractional calculus has attracted the attention of many researchers ...left-type fractional integrals and ...
16
A New Approach for Fractional Order Derivative and Its Applications
... The fractional calculus is used to model various different phenomena in nature but due to the non-local property of the FODs, it still remains a lot of improvements in the present numerical approaches ...
8