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The finite difference methods for fractional ordinary differential equations
Fractional finite difference methods are useful to solve the fractional differential equations. The aim of this article is to prove the stability and convergence of the fractional Euler method, the fractional Adams method and the high order methods based
Li, Changpin, Zeng, Fanhai
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A convexity result for fractional differences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On stability of difference schemes in fractional spaces
Abstract The Cauchy problem e v ′ ( t ) + A ( t ) v ( t ) = f ( t ) ( 0 ≤ t ≤ T ) , v ( 0 ) = φ in fractional spaces E α with the strongly positive operators A ( t ) with domain D ( A ( t ) ) = D ( A ( 0 ) ) and with an arbitrary e
Allaberen Ashyralyev, Ahmet Batyrov
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ABSTRACT Rates of cancer among adolescents and young adults (AYA), age 15–39 years, are increasing. Consequently, radiation oncologists are treating more AYAs who have diagnoses spanning both pediatric and adult practices. Compared to pediatric and older adult patients, AYAs face a unique set of challenges.
Hesham Elhalawani +7 more
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In this article, we study the existence and uniqueness results for a nonlocal fractional sum-difference boundary value problem for a Caputo fractional functional difference equation with delay, by using the Schauder fixed point theorem and the Banach ...
Bunjong Kaewwisetkul +1 more
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In order to enrich the basic theory of boundary value problems of fractional (p,q)[KG-*2]-[KG-*3]difference equations,the solvability of nonlocal problems for a class of nonlinear fractional (p,q)[KG-*2]-[KG-*3]difference equations was investigated ...
Jufang WANG, Si WANG, Changlong YU
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ABSTRACT Background Allogeneic hematopoietic stem cell transplantation (alloHSCT) is an essential therapy for several malignant and nonmalignant diseases, but relapse and graft loss remain the principal threats to its success. Routine monitoring of chimerism and minimal residual disease (MRD) enables early detection of imminent recurrence and guides ...
Carmen Junk +10 more
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On the Stability of Linear Incommensurate Fractional-Order Difference Systems
To follow up on the progress made on exploring the stability investigation of linear commensurate Fractional-order Difference Systems (FoDSs), such topic of its extended version that appears with incommensurate orders is discussed and examined in this ...
Iqbal M. Batiha +4 more
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Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes +4 more
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Fractional variational problems depending on indefinite integrals [PDF]
We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
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