[PDF] Top 20 A class of nonlocal problems of fractional differential equations with composition of derivative and parameters
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A class of nonlocal problems of fractional differential equations with composition of derivative and parameters
... many problems of fluid mechanics, bioengineering, chemical engineering, and so on could be attributed to the integral boundary value problems, which are nonlocal ...practical problems, there ... See full document
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Solvability for a class of nonlinear Hadamard fractional differential equations with parameters
... another fractional derivative, which differs from the above-mentioned ones because its definition involves logarithmic function of arbitrary exponent and named the Hadamard ...type fractional ... See full document
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Impulsive initial value problems for a class of implicit fractional differential equations
... value problems for a class of implicit fractional differential equations involving the Caputo fractional derivative were obtained using Banach’s contraction mapping ... See full document
14
Studies on Sturm-Liouville boundary value problems for multi-term fractional differential equations
... sequential fractional differential ...the fractional derivatives that rep- resents an interesting complication that does not arise in the integer- order ...a composition of two ... See full document
18
Existence results for fractional order differential equations with nonlocal multi point strip conditions involving Caputo derivative
... of fractional-order differential equations supplemented with a variety of initial and boundary conditions, such as classical, nonlocal, multi-point, periodic/anti-periodic, and integral boundary ... See full document
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Controllability for a new class of fractional neutral integro differential evolution equations with infinite delay and nonlocal conditions
... of fractional differential equations have become an ac- tive area of investigation due to their applications in many fields such as viscoelasticity, electrochemistry, control, porous media, electromagnetic, ... See full document
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Nonlocal problems for Langevin-type differential equations with two fractional-order derivatives
... and nonlocal terms of such equations are presented by studying the corresponding linear Langevin-type equations with two fractional ... See full document
21
Spectral problems for fractional differential equations from nonlocal continuum mechanics
... differential equations with both left and right fractional derivatives are also applicable to many fields, such as the extremal problems of fractional Euler-Lagrange equations [, ] and ... See full document
12
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
Nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions
... We study the existence of solutions for a class of nonlinear Caputo-type fractional boundary value problems with nonlocal fractional integro-differential boundary conditions. We apply ... See full document
10
Solvability of nonlocal boundary value problem for a class of nonlinear fractional differential coupled system with impulses
... It is well known that the effects of a pulse are inevitable in many phenomena and pro- cesses. For example, in the population dynamics systems, there are abrupt changes of pop- ulation size due to the effects such as ... See full document
17
Multiple positive solutions for nonlocal boundary value problems of singular fractional differential equations
... where < μξ α– < , ≤ μ ≤ , < ξ < , f is continuous on [, ] × [, + ∞ ). When f : [, ] × [, +∞) → [, +∞) satisfies Carathéodory type conditions, by using some fixed point theorems, like ... See full document
11
Periodic boundary value problems for singular fractional differential equations with impulse effects
... Cauchy problems of differential equations involving Caputo fractional derivative, Riemann-Liouville and Hadamard fractional derivatives with order q ∈ ( 0, 1 ) ...impulsive ... See full document
68
Nonlocal fractional stochastic differential equations driven by fractional Brownian motion
... Differential equations involving fractional derivatives in time are more realistic to describe many phenomena in practical cases than those of integer order in ...time. Fractional differ- ential ... See full document
16
Nonlinear sequential fractional differential equations with nonlocal boundary conditions involving lower order fractional derivatives
... new class of boundary value problems of sequential fractional differential equations of order q ∈ (2, 3] supplemented with nonlocal non-separated boundary conditions involving ... See full document
16
Studies on Sturm-Liouville boundary value problems for multi-term fractional differential equations
... sequential fractional differential ...the fractional derivatives, this rep- resents an interesting complication that does not arise in the integer- order ...a composition of two ... See full document
18
Optimal controls for a class of impulsive fractional differential equations with nonlocal conditions
... of problems has been paid more and more attention to ...differential equations and optimal condi- tions have been an active area of research because the impulsive differential system can fully consider the ... See full document
12
Boundary value problems for fractional differential equations with nonlocal boundary conditions
... the fractional differential equation boundary value problems have been studied by some authors, very little is known in the literature on the boundary value problems with integral boundary ...of ... See full document
12
Fractional Differential Equations and Inclusions with Nonlocal Generalized Riemann-Liouville Integral Boundary Conditions
... flow problems, chemical en- gineering, thermoelasticity, underground water flow, population dynamics, ...flow problems is not always ...backward problems in time partial differential ... See full document
17
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
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