[PDF] Top 20 Basic theory of initial value problems of conformable fractional differential equations
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Basic theory of initial value problems of conformable fractional differential equations
... of fractional derivatives in the literature, each depending on a given set of assumptions, the most popular of which are the Riemann–Liouville and Caputo fractional ...a fractional derivative, called ... See full document
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Initial value problems for fractional differential equations involving Riemann-Liouville derivative
... of fractional derivatives become apparent in modeling mechanical and electrical properties of real materials, and in many other fields, like theory of ...studying fractional differential ... See full document
9
Positive solutions of conformable fractional differential equations with integral boundary conditions
... Initial value problems of conformable fractional differential equations were discussed in [21–23]; and analytical solutions to some specific conformable fractional ... See full document
12
On Comparison Theorems for Conformable Fractional Differential Equations
... the fractional derivative at a point x is a local property only when a is an integer; in non-integer cases we cannot say that the fractional derivative at x of a function f depends only on values of f very ... See full document
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Existence of positive solutions of boundary value problems for high order nonlinear conformable differential equations with p Laplacian operator
... of fractional derivatives, namely Riemann–Liouville and Caputo, are ...Riemann–Liouville fractional derivative because it is amenable to many mathematical manipulations, while physicists and engineers ... See full document
17
Employing of Some Basic Theory for Class of Fractional Differential Equations
... Basic theory on a class of initial value problem of some fractional differential equation involving Riemann-Liouville differential operators is discussed by employing the classical ... See full document
13
On boundary value problems of higher order abstract fractional integro-differential equations
... Fractional differential equations have been recently used as effective tools in study the modelling of many real ...flow problems, control theory, aerodynamics, nonlinear oscillation of ... See full document
20
A new technique to solve the initial value problems for fractional fuzzy delay differential equations
... rent population size. If the partial information in the classical population model (.) may be known or in the parameters used in the above model may be uncertainty, then model (.) can be appropriate by interval or ... See full document
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Existence theory to a class of boundary value problems of hybrid fractional sequential integro-differential equations
... an initial value problem. Moreover, in our problem the fractional orders of derivatives are 0 < α ≤ 1 and 1 < ω ≤ 2, whereas in problem (1) the fractional orders are 0 < α, ω ≤ ... See full document
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Boundary value problems for fractional differential equations
... The rest of this paper is organized as follows. Section contains some necessary no- tations, definitions and lemmas. In Section , we establish a theorem on existence of so- lutions for BVP (.) under nonlinear growth ... See full document
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Boundary value problems for hybrid differential equations with fractional order
... differential equations ini- tiating the study of theory of such systems and proved utilizing the theory of inequalities, its existence of extremal solutions and comparison ... See full document
19
Differential transform method for conformable fractional partial differential equations
... for fractional derivative in most of which integral forms have been widely ...of fractional derivative called a conformable frac- tional derivative was proposed by Khalil et ...the conformable ... See full document
13
Existence and approximate solutions for hybrid fractional integro-differential equations
... the initial value problems of first order quadratic differential equa- tions with ordinary derivative wherein only existence of the solutions is proved using classical hybrid fixed point ... See full document
10
Initial value problem for nonlinear fractional differential equations with sequential fractional derivative
... differential equations have been of great interest for the past three ...the theory of fractional calculus itself as well as its ...mathematics, fractional differential equations can be ... See full document
13
A wavelet operational matrix method for solving initial - boundary value problems for fractional partial differential equations
... A fractional partial differential equation (FPDE) is a partial differential equation which involves frac- tional calculus ...of Initial - Boundary value problems for FPDEs have ... See full document
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Solvability of boundary value problems of nonlinear fractional differential equations
... differential equations have been of great ...the theory of fractional calculus itself and by the ...mathematics, fractional differential equations arise in rhe- ology, dynamical processes ... See full document
13
Picard iterative processes for initial value problems of singular fractional differential equations
... the initial value problems of fractional differential equations are discussed and new criteria on local existence and uniqueness of solutions are ...for fractional differential ... See full document
17
Periodic boundary value problems for impulsive conformable fractional integro-differential equations
... the fractional order derivative used is either the Caputo or the Riemann-Liouville fractional order derivative involving an integral expression and the gamma ...local fractional derivative, called ... See full document
18
Impulsive initial value problems for a class of implicit fractional differential equations
... impulsive fractional differential equations has turned out to be significant object of research as of late due to its extensive applications to numer- ous physical phenomena in nature like the impact ... See full document
14
Differential inequalities for a finite system of hybrid Caputo fractional differential equations
... some basic fractional differential inequalities for a finite system of an initial value problem of hybrid fractional differential equations involving derivatives ... See full document
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